Let be a continuously differentiable function with and

MATHEMATICS · Numerical · CBSE · Mathematics · Integrals · Integrals

Problem

Let

g

be a continuously differentiable function with

g(1)=6

and

g'(1)=3

. What is

\lim_{x\to1}\dfrac{\int_1^x g(t)\,dt}{g(x)-6}