Question

$\frac{1}{2} + \frac{3}{2}.\frac{1}{4} + \frac{5}{3}.\frac{1}{8} + \frac{7}{4}.\frac{1}{16} + .....\infty =$

• A. $2 - \log_{e}2$
• B. $2 + \log_{e}2$
• C. $\log_{e}4$
• D. None of these

Answer 1

Answer: (A)

$2 - \log_{e}2$

Answer 2

$1 + \frac{a + bx}{1!} + \frac{(a + bx)^{2}}{2!} + ..... + \frac{(a + bx)^{n}}{n!} + .....$

$x^{r}$

$\frac{(a + b)^{r}}{r!}$

$\frac{b^{r}}{r!}$.