# What is the limit of #sqrt[ x^2-1]/ sqrt[x^2+1]# as x goes to infinity?

The limit is

Let's rewrite the function

Therefore,

graph{(y-sqrt(x^2-1)/sqrt(x^2+1))(y-1)=0 [-1.15, 11.337, -1.79, 4.453]}

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

The limit of sqrt[x^2-1]/sqrt[x^2+1] as x goes to infinity is 1.

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.

- How do you find the limit of #(1-(2/x))^x# as x approaches infinity?
- What is # lim_(->-oo) f(x) = absx/(16-x^2) #?
- How do you prove that the limit of #f(x) =2x-3# as x approaches 5 is 7 using the epsilon delta proof?
- What is the limit of #(1+2x)^(1/x)# as x approaches infinity?
- How do I resolve indeterminate limits?

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