# How do you use the Squeeze Theorem to find #lim Tan(4x)/x# as x approaches infinity?

There is no limit of that function as

There isn't a squeeze theorem variation that I'm aware of that can be used to demonstrate the nonexistence of this limit.

graph{tan(4x)/x [-18.59, -4.87, 6.37, -3.91]}

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

To use the Squeeze Theorem to find the limit of Tan(4x)/x as x approaches infinity, we can compare it to two other functions with known limits.

First, we know that the limit of Tan(4x) as x approaches infinity is undefined. However, we can find the limits of the functions sin(4x)/x and -sin(4x)/x as x approaches infinity, which are both equal to zero.

Since -1 ≤ sin(4x)/x ≤ 1 for all x, we can use the Squeeze Theorem to conclude that the limit of Tan(4x)/x as x approaches infinity is also zero.

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 use a graph to show that the limit does not exist?
- What is the limit of #((x+1)/x)^x# as x approaches #oo#?
- How do you determine the limit of #(x+4)/(x-4)# as x approaches 4+?
- What is the discontinuity of the function #f(x)=(3x^2+x-4)/(x-1)#?
- What is the limit of #(1+1/x)^x# as x approaches infinity?

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