Home › AP EAPCET (Engineering) › Mathematics › Limits › Natural log of (1 + x), divided by x, tends to w…
Natural log of (1 + x), divided by x, tends to what as x goes to 0?
AEqual to 0
BEqual to 1
CEqual to e
DNo finite limit
Answer & Solution
Correct answer: B. Equal to 1
This is a standard logarithmic limit and its value is 1.
Related questions
A continuous function on a closed interval [a, b] attains a maximum by theWhich definition was introduced to formalise continuity?By the squeeze theorem, the limit of x^2 cos(1/x) as x tends to 0 isIf f(x) = 2x + 1 for x < 1 and f(x) = ax + 2 for x at least 1 is continuous, a equalsf(x) = x sin(1/x) for x not 0 is made continuous at 0 by setting f(0) tof(x) = |x| is continuous at 0 but at 0 it isEvery differentiable function at a point is alsoA function is right-continuous at c if no jump occurs when x approaches c from the