Q88 / 155 · WBJEE 2020 · Mathematics

If $\lim _{x \rightarrow 0}\left(\frac{1+c x}{1-c x}\right)^{1 / x}=4$, then $\lim _{x \rightarrow 0}\left(\frac{1+2 c x}{1-2 c x}\right)^{1 / x}$ is

  • A
    2
  • B
    4
  • Correct answer
    C
    16
  • D
    64

Solution

Hint: $\mathrm{e}^{2 \mathrm{c}}=4 \Rightarrow \mathrm{e}^{4 \mathrm{c}}=16$

Hence, the correct answer is option: 'C'.

Relevant Questions