# What is the coefficient #a_6# in #(1+x)^21+cdots+(1+x)^30# ?

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See below.

Now

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# Coef(x^6) = 2513295#

Think about the amount

We can use factorials to evaluate the combination directly, or, more likely, we can use the built-in combination function on calculators.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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