# What is the limit as x approaches infinity of #e^x#?

Another perspective...

From the origin, we can head off towards "infinity" in all sorts of ways.

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

Exaplanation using logarithms.

Knowing these things allows us to reason as follows.

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

The limit as x approaches infinity of e^x is infinity.

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 many vertical asymptotes can a graph have?
- How do you find #lim sqrt(t^2+2)/(4t+2)# as #t->-oo#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(x^4+4x^2+2x)/(x^2-2x)#?
- How do you find the limit of # (x^3 - 5x^2 + 7x - 3)/(x^3 - x^2 - 5x - 3)# as x approaches 3?
- For what values of x, if any, does #f(x) = 1/((x-9)(x-1)(x-5)) # have vertical asymptotes?

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