Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • <img alt="\mathrm{\text { Evaluate } \lim _{x \rightarrow \infty} \frac{3 x^2+\sin x}{x^2+(\sin x)^2}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Ctext%20%7B%20Evaluate%20%

\mathrm{\text { Evaluate } \lim _{x \rightarrow \infty} \frac{3 x^2+\sin x}{x^2+(\sin x)^2}}

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

-1


Answers (1)

best_answer

                               \mathrm{ \lim _{x \rightarrow \infty} \frac{3 x^2+\sin x}{x^2+(\sin x)^2} }

Applying L'Hospital's rule taking derivative thrice I get the following expression:

                                   \mathrm{ \lim _{x \rightarrow \infty} \frac{\cos x}{8 \cos 2 x}=0 }

Posted by

Rakesh

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: IIT Roorkee’s ECE emerges as top choice after CSE; closing rank rises
anam-khan

JEE Main 2026 application correction begins on jeemain.nta.nic.in; edit details by December 2
anam-khan

JEE Mains 2026 LIVE: NTA to conduct session 1 from January 21 to 30; exam pattern, syllabus

Latest Question