Given below are two statements: Statement I: lim_(x → 0) ( (tan⁻¹ x + logₑ √(1+x)/(1-x) - 2x)/x⁵) = 2/5 Statem…

Question

Given below are two statements:

Statement I: $$\lim_{x 	o 0} \left( \frac{	an^{-1} x + \log_e \sqrt{\frac{1+x}{1-x}} - 2x}{x^5} ight) = \frac{2}{5}$$

Statement II: $$\lim_{x 	o 1} \left( x^{\frac{2}{1-x}} ight) = \frac{1}{e^2}$$

In the light of the above statements, choose the correct answer from the options given below

Accepted Answer

C. Both Statement I and Statement II are true

Answer

A. Both Statement I and Statement II are false

Answer

B. Statement I is false but Statement II is true

Answer

D. Statement I is true but Statement II is false

Answer & step-by-step solution