# Find the limit as x approaches infinity of #y=arccos((1+x^2)/(1+2x^2))#?

So, we have:

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The limit as x approaches infinity of y=arccos((1+x^2)/(1+2x^2)) is π/2.

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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.

- How do you evaluate the limit #tan(3x)/(3tan2x)# as x approaches #0#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(x+2)/(x^2-3x-10)#?
- What is the limit as x approaches 0 of #x/arctan(4x)#?
- How do you find vertical asymptotes using limits?
- How do you find vertical asymptote of tangent?

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