$1 + x \log_e a + \frac{x^2}{2!} (\log_e a)^2 + \frac{x^3}{3!} (\log_e a)^3 + \dots = $

  • A
    $a^x$
  • B
    $x$
  • C
    $a^{\log_a x}$
  • D
    $a$

Explore More

Similar Questions

$1 - x + \frac{x^2}{2!} - \frac{x^3}{3!} + \dots \infty = $

The coefficient of $x^k$ in the expansion of $\frac{1-2x-x^2}{e^{-x}}$ is

The value of $\frac{2\frac{1}{2}}{1!} + \frac{3\frac{1}{2}}{2!} + \frac{4\frac{1}{2}}{3!} + \frac{5\frac{1}{2}}{4!} + \dots \infty$ is

Let $S$ denote the sum of the infinite series $1+\frac{8}{2!}+\frac{21}{3!}+\frac{40}{4!}+\frac{65}{5!}+\ldots$. Then

$\frac{2}{3!} + \frac{4}{5!} + \frac{6}{7!} + \dots \infty = $

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo