If $y = x - \frac{x^2}{2!} + \frac{x^3}{3!} - \frac{x^4}{4!} + \dots$,then $x = $

  • A
    $\log_e(1 - y)$
  • B
    $\frac{1}{\log_e(1 - y)}$
  • C
    $\log_e\left(\frac{1}{1 - y}\right)$
  • D
    $\log_e(1 + y)$

Explore More

Similar Questions

The sum of the series $\frac{1}{2 \times 3} + \frac{1}{4 \times 5} + \frac{1}{6 \times 7} + \dots = $

$\frac{1}{1 \cdot 2 \cdot 3} + \frac{1}{3 \cdot 4 \cdot 5} + \frac{1}{5 \cdot 6 \cdot 7} + \dots \infty = $

The coefficient of $x^n$ in the expansion of $\log_e(1 + 3x + 2x^2)$ is

$1 + \frac{2}{3} - \frac{2}{4} + \frac{2}{5} - \dots \infty = $

If $y = x - \frac{x^2}{2} + \frac{x^3}{3} - \dots \infty$,then $x = $

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