Vault Of Euclid

Limit of ln(1 + e^x) / (1 + x) as x approaches infinity

Limits warmup

\(\lim_{x\to+\infty} \frac{\ln(1 + e^x)}{1 + x}\)

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

Derivatives of exponential functions
Derivatives of logarithmic functions
L'Hôpital's rule
The chain rule

What this problem tests

Tests the ability to recognize indeterminate forms and apply L'Hôpital's rule repeatedly.

This is a standard calculus problem on evaluating limits of indeterminate forms.

More on Limits

← today's set