Question

The value of $f(y) + f\left( \frac{1}{y} \right)f(x) = \log\left\lbrack \frac{1 + x}{1 - x} \right\rbrack,$ , n ∈ N and [.] is G.I.F.

• A. –1
• B. 0
• C. +1
• D. Does not exist

Answer 1

Answer: (A)

–1

Answer 2

$\lim _ { x \rightarrow \infty }$ =$\lim _ { x \rightarrow \infty }$

⇒ $\lim _ { x \rightarrow \infty }$ $\frac { \frac { 1 } { \mathrm { x } ^ { \mathrm { n } } } \cdot n \mathrm { x } ^ { \mathrm { n } - 1 } - 1 } { 1 }$ =$\lim _ { x \rightarrow \infty }$ $\frac { \frac { \mathrm { n } } { \mathrm { x } } - 1 } { 1 }$ = – 1