What is #lim_(xrarrpi/2) e^(-tan^2x# ?
Since
we get
By signing up, you agree to our Terms of Service and Privacy Policy
To find the limit as x approaches π/2 of e^(-tan^2x), we can use the fact that tan(π/2) is undefined. Therefore, we rewrite e^(-tan^2x) as 1/e^(tan^2x). As x approaches π/2, tan(x) approaches infinity, so tan^2(x) approaches infinity as well. Therefore, 1/e^(tan^2x) approaches 0 as x approaches π/2. Hence, lim_(x→π/2) e^(-tan^2x) = 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.
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.

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