Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Rewrite $\frac{e^x}{2^x}$ using the property of the power of a quotient: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve problems step by step online.
$\lim_{x\to\infty }\left(\left(\frac{e}{2}\right)^x\right)$
Learn how to solve problems step by step online. Find the limit of (e^x)/(2^x) as x approaches infinity. Rewrite \frac{e^x}{2^x} using the property of the power of a quotient: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. The limit of a constant is just the constant. Evaluate the limit \lim_{x\to\infty }\left(x\right) by replacing all occurrences of x by \infty .
