# What is the limit as x approaches infinity of #1.001^x#?

its

You can find this simply by looking at the graph of the function. You first have to notice that it's an exponential function (

0 < a < 1:

1 < a

In this case

=> The function looks like the second function.

When

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The limit as x approaches infinity of 1.001^x is infinity.

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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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- How do you find the limit #(sqrt(x^2+1)-1)/(sqrt(x+1)-1)# as #x->0#?
- How do you find the limit of # (acota)/(sina) # as a approaches 0?
- How do you find the limit of #tan^-1(1/x)# as #x->0^+#?

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