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Kurdish militia forces have been protecting the city of Kobani for two months. (No thanks to the U.S. and Turkey.)
Do read Mahdi Darius Nazemroaya's article from a week or so ago: The War in Rojava: How U.S. and Turkey seek to gain control over Syria. In it, he writes:
Instead of preventing the fall of Kobani and supporting the local defenders which were doing the heavy fighting on the ground against the ISIL and containing its pseudo-caliphate, Washington did not move. The US position on Kobani is an important indicator that the US war initiated against the ISIL has been mere bravado and a fictitious public relations stunt aimed at hiding the real objective of getting a strategic foothold inside Syrian territory. ...

Although Turkey passed legislature to invade Syria on October 2, Ankara remained cautious. In reality, Turkey was doing everything in its power to ensure that Kobani would fall into the control of the ISIL and that Kobani's local defenders would be defeated.

In the context of Kobani, numerous reports were made revealing that large weapon shipments were delivered to the heavily armed battalions of the ISIL by Turkey for the offensive on Kobani. One journalist, Serena Shim, would pay with her life for trying to document this. ...

The Pentagon's two different approaches, one for Iraq and one for Syria, say a lot about what Washington is doing in the Syrian Arab Republic. Washington is still going after Syria and in the process it and Turkey wants to either co-opt the Syrian Kurds or to neutralize them. This is why the battle for Kobani was launched with Turkish involvement and why there was inaction by the US government.
Now, after failing to help the Kurds defeat ISIS when it really mattered, the U.S. has decided to just bomb the hell out of the city. The U.S. Air Force reportedly conducted 31 airstrikes in Syria and Iraq between November 14-17, 9 of which were near Kobani.

This is what the attacks looked like. Considering what Nazemroaya has to say about Kobani, you can bet 'fighting ISIS' wasn't on the top of the U.S.'s priority list.
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US fighter above Kobani.
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Smoke rises from the Syrian city of Kobani, following an airstrike by the US led coalition.
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Mission accomplished: devastation.
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Doing what the U.S. does best.
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Blowing stuff up.