Open In App

GATE | GATE 2017 MOCK II | Question 34

Like Article
Like
Save
Share
Report
limit (A) e (B) e2 (C) e1/2 (D) 1

Answer: (B)

Explanation: Let,f(x) = (1 + x)^\frac{2}{sinx} If you substitute the value of x, the value of f(x) will be in the form of 1^\infty The limit value for the type of expressions P^Q is equals to e^{Q(P-1)} Here, for lim_{x->0} (1+x)^{\frac{2}{sinx}} e^{lim_{x->0} \frac{2}{sinx}(1+x-1)} e^{lim_{x->0}2*(\frac{x}{sinx})} We know that the value of lim_{x->0}\frac{x}{sinx}=1 The resultant value is equal to e^2

Quiz of this Question

Last Updated : 14 Feb, 2018
Like Article
Save Article
Previous
Next
Share your thoughts in the comments
Similar Reads