How do you simplify #((n+2)!)/((n-1)!)#?
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To simplify ( \frac{(n+2)!}{(n-1)!} ), we can expand both factorials and then cancel out common terms.
( (n+2)! = (n+2)(n+1)n(n-1)! )
Now, substitute this expression into the original:
[ \frac{(n+2)!}{(n-1)!} = \frac{(n+2)(n+1)n(n-1)!}{(n-1)!} ]
Now, we can cancel out the ( (n-1)! ) terms:
[ \frac{(n+2)(n+1)n(n-1)!}{(n-1)!} = (n+2)(n+1)n ]
So, ( \frac{(n+2)!}{(n-1)!} ) simplifies to ( (n+2)(n+1)n ).
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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.
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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