Question

The value of $\sqrt{e}$ will be.

• A. 1.648
• B. 1.547
• C. 1.447
• D. 1.348

Answer 1

Answer: (A)

1.648

Answer 2

$\left( \frac{a - b}{a} \right) + \frac{1}{2}\left( \frac{a - b}{a} \right)^{2} + \frac{1}{3}\left( \frac{a - b}{a} \right)^{3} + ..... =$

Putting $\log_{e}(a - b)$ on both the sides

$\log_{e}\left( \frac{a}{b} \right)$ = $\log_{e}\left( \frac{b}{a} \right)$

= $e^{\left( \frac{a - b}{a} \right)}$

$\frac{(a - 1) - \frac{(a - 1)^{2}}{2} + \frac{(a - 1)^{3}}{3} - ....\infty}{(b - 1) - \frac{(b - 1)^{2}}{2} + \frac{(b - 1)^{3}}{3} - .....\infty} =$

$\log_{b}a$, (approximately).