# Is #f(x)=1/x-1/x^3+1/x^5# increasing or decreasing at #x=-1#?

Decreasing.

Rewrite

Distinguish:

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To determine whether the function f(x) = 1/x - 1/x^3 + 1/x^5 is increasing or decreasing at x = -1, we need to analyze its first derivative at that point. After computing the derivative and evaluating it at x = -1, we find that the first derivative is negative. Therefore, the function is decreasing at x = -1.

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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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- What are the local extrema of #f(x)= 1/sqrt(x^2+e^x)-xe^x#?
- Is #f(x)=3x^3-6x-7 # increasing or decreasing at #x=0 #?

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