Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Answer please! - Limit , continuity and differentiability - JEE Main-7

\lim_{x\rightarrow 0}(1+x^{2})^{1/x}  equals

  • Option 1)

    0

  • Option 2)

    1

  • Option 3)

    e

  • Option 4)

    e^{2}

 

Answers (1)

best_answer

As we have learned

1 to the power of infinity Form -

Let\:\:\;\lim_{x\rightarrow a}f(x)^{g(x)}\:\;\:where

f(a)=1\:\:\:and \;\:\:g(a)=\infty

Then\:\:\:\:e^\lim_{x\rightarrow a}(f(x)-1)g(x)

-

 

 limit will be e\lim_{x\rightarrow 0}(1+x^{2}-1)\cdot 1/x \lim_{x\rightarrow 0}\frac{x^{2}}{x}=e

e\lim_{x\rightarrow 0}(x)=e^{0}=1

 

 

 

 

 


Option 1)

0

Option 2)

1

Option 3)

e

Option 4)

e^{2}

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 April 2 Shift 1 Analysis: Paper 'easy to moderate'; students find maths challenging
anam-khan

11.23 lakh to write JEE Mains 2026; NTA reschedules April 5 exams for some, revises Middle East centres
anam-khan

JEE Main 2026 session 2 admit card out for April 5 to 8 exams

Latest Question