$1 + \frac{a - bx}{1!} + \frac{(a - bx)^2}{2!} + \frac{(a - bx)^3}{3!} + \dots \infty = $

  • A
    $e^{a - bx}$
  • B
    $e^{a - bx} - 1$
  • C
    $1 + a \log_e(a - bx)$
  • D
    $e^{-bx}$

Explore More

Similar Questions

In the expansion of $\frac{e^{5x} + e^x}{e^{3x}}$,the coefficient of $x^4$ is

The sum of $\frac{2}{1!} + \frac{6}{2!} + \frac{12}{3!} + \frac{20}{4!} + \dots$ is

In the expansion of $\frac{a + bx}{e^x}$,the coefficient of $x^r$ is

The coefficient of $x^n$ in the expansion of $\frac{e^{7x}+e^x}{e^{3x}}$ is

The coefficient of $x^{10}$ in the expansion of $(2+3x)e^{-x}$ is:

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