With five days to go until election day, here's a recap of yesterday's action:

• President Obama has made an impassioned plea for young people in North Carolina to vote for Hillary Clinton. He said the "fate of the republic" was hanging in the balance
• Clinton spoke in the battleground state of Nevada and traditionally Republican Arizona - where she attracted a 15,000 strong crowd
• Donald Trump held three events in Florida, including Pensacola, where he said Clinton had become "unhinged"
• Polls suggest Trump has been cutting Clinton's lead in the last couple of weeks

That's it for our live updates until Thursday morning.

You can keep abreast of all the latest campaign news and read more of the BBC's analysis on our election special report.

Immigration is one of the big election issues, and Trump especially has made it a rallying cry for his supporters. "Build that wall" has become a popular chant at his rallies. 

So how do the two candidates differ on what they've promised?

Rajini Vaidyanathan explains.

The last Democrat to win in Arizona was Bill Clinton in 1996, but his wife has poured a lot of resources into campaigning there, in the hope of breaking the duck and flipping the state from red to blue.

She will be taking to the stage later in Tempe, a city near Phoenix.

Image source, AP

What a difference a week or two makes.

Not so long ago, Trump's body language suggested he thought victory was slipping from his grasp. For the first time, he even spoke openly about the prospect of defeat.

But now he has a spring in his step and he has opened his rally in Pensacola, Florida, by predicting victory.

He said his advisers had told him to remain "nice and cool"... stay on point, Donald... no sidetracks, Donald. Nice and easy. Nice and easy."

While Democrats have in recent days tried to make his treatment of women once again the main subject for discussion, he has refused to take the bait.

Instead, he has focused on increased premiums for some people using the Affordable Care Act, and the renewed FBI investigation into Clinton's private email arrangements. 

How Trump believes he can still win

Image source, AP

Senate Majority Leader Mitch McConnell has made his strongest statement yet in support of his party's presidential nominee.

Speaking in his home state of Kentucky, he said "we need a new president, Donald Trump, to be the most powerful Republican in America".

While his backing was never in doubt, McConnell has been largely reticent about Trump and expressed concerns that Republicans could lose control of the Senate.

Not any more.

Republicans who have deserted Trump (and some who did a U-turn)

Israel is perhaps one of the countries where the US election is being most closely watched.

In fact, it is being keenly fought there too, among the estimated 300,000 American citizens who have settled in Israel, America’s key ally in the region.

American-Israelis are thought to have traditionally favoured the Republican Party and Trump supporters have been particularly active on the ground hoping that absentees registered in some of the swing states could make a difference, reports Thomas Fessy from Jerusalem.

Image source, AFP

Hillary Clinton has urged Las Vegas hotel and casino workers to vote early in the presidential election.

Clinton, who is in the city for a rally, made a surprise stop at an employee dining room at the Mirage hotel.

The crowd yelled out, "Madam President," to which Mrs Clinton replied: "Let's make it happen." 

She urged the workers to "please get out and vote. Be sure you get out and vote."

A new CNN/ORC polls suggests Clinton is trailing casino magnate Donald Trump by six points in Nevada, although the Clinton campaign says their candidate has a big lead in early voting numbers in the state.

Who is toughest on immigration - Donald Trump or UK Prime Minister Theresa May?

Who's a bigger "tree hugger" - Hillary Clinton or German Chancellor Angela Merkel?

The BBC's Anthony Zurcher has been seeing how the presidential contenders measure up against world leaders in key policy issues. 

Some of his conclusions may surprise you...

The US election could have a crucial bearing on the future of Japan, which since the Second World War has played host to thousands of American troops.

Donald Trump has suggested this could end if he becomes president.

A poll by The Peace Index suggests 70% of Japanese people trust Hillary Clinton's handling of foreign affairs compared with 16% who trust Mr Trump.

But what do ordinary Japanese people make of the election campaign?

If this BBC video is anything to go by, they are worried about the prospect of a Trump presidency, although one man says he envies Americans because at least their politicians speak candidly about their true feelings.

The policemen killed by a gunman in Des Moines have been identified as Urbandale officer Justin Martin, 24, and Des Moines Sgt Anthony Beminio, 38.  

Image source, AP

Obama tells the crowd that voting for Clinton is not just about stopping the "uniquely unqualified" Donald Trump from becoming president but that she is "actually worthy of your vote".

It is a standard stump speech, but it hits the right spot with a young, partisan crowd. Whether it will be enough to overcome the enthusiasm gap, we will find out on Tuesday.

Voting is already under way in North Carolina, a crucial swing state which opted for Obama in 2008 and Romney in 2012. Black voter turnout appears to be lagging behind 2012.

Obama goes on to Miami and Jacksonville, Florida, before heading back to North Carolina's Charlotte on Friday. 

Obama is not the only one fighting in Hillary Clinton's corner. She has her top surrogates fanning out across the US making the case for her.

Running mate Tim Kaine is in Iowa, which is home to Republican Senator Chuck Grassley, chairman of the Senate Judiciary Committee. 

Kaine hit out at Grassley's party for their continued refusal to to consider the president's Supreme Court justice nominee.

He called it a "most serious thing" for Republicans to "thwart" the law which governs court appointees.

Find out more about what's at stake for the Supreme Court

"I love you too, but I've got some business I've got to do here," says Barack Obama to a fan, as he rallies the Democrat troops in North Carolina. 

"I will give you a hug on the way out."

This sends the young crowd wild. 

His message to them is to "push away all the noise, the hype and the nonsense" and focus on the "choice" facing them.  

"The fate of the world is teetering, and you, North Carolina, are going to have to make sure that we push it in the right direction." 

Image source, Getty Images

Americans are banned from betting on the US election - but it's a very different story in the UK.

William Hill, one of the country's biggest High Street chains, says it has so far taken more than £2.5m in bets on the race for the White House.

That's more money than it took at last year's UK general election.

"Although the two biggest bets of all so far struck on the outcome of the US election are both for Hillary Clinton, some 70% of all of the individual bets placed have been on a Trump win - and as his odds have consistently been longer, once as long as 150/1, he will be much the worse outcome for us," says Hill's spokesman Graham Sharpe.  

The firm has cut Trump's odds eight times, from 11/2 on October 15, to a current price of 2/1, while Clinton's odds have lengthened from 1/9, a 90% chance of victory, to 4/11, a 73% chance.

One 46-year-old William Hills client stands to win 770,000 euros ($853,000) if Clinton wins, while another woman, aged 44, will win £205,916 ($253,00).