# What is the limit of #(sin^2x/x^2)# as x approaches infinity?

And that if

So, recall that

This means that

Thus,

By signing up, you agree to our Terms of Service and Privacy Policy

The limit of (sin^2x/x^2) as x approaches infinity is 0.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- For what values of x, if any, does #f(x) = 1/(x^2-4x+4) # have vertical asymptotes?
- How do you find the limit of #((t^2)+(5t)) / (cosh(t)-1)# as t approaches 0?
- How do you evaluate the limit #15/(t^2+5)# as t approaches #1#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=abs(x-9)/ (x-9)#?
- In the limit #lim sqrt(6-3x)=0# as #x->2^-#, how do you find #delta>0# such that whenever #2-delta<x<2#, #sqrt(6-3x)<0.01#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7