\[\frac{4}{1.3} - \frac{6}{2.4} + \frac{12}{5.7} - \frac{14}... | MATH - LOGARITHMIC SERIES | SolveeIt | Solveeit

Today, August 19

Question

$\frac{4}{1.3} - \frac{6}{2.4} + \frac{12}{5.7} - \frac{14}{6.8} + .....\infty =$

A

$\log_{e}3$

B

$\log_{e}2$

C

$2\log_{e}2$

D

None of these

Answer

$\log_{e}2$

Explanation

Solution

$3 + \frac{5}{1!} + \frac{7}{2!} + \frac{9}{3!} + .....\infty =$ +....

$3e$

$5e$

$5e - 1$ .