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{ \lim _{x \rightarrow 0}\left(\left[\frac{n \sin x}{x}\right]+\left[\frac{n \tan x}{x}\right]\right) }" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20%5Clim%

\mathrm{ \lim _{x \rightarrow 0}\left(\left[\frac{n \sin x}{x}\right]+\left[\frac{n \tan x}{x}\right]\right) }\mathrm{( n \in N,[.]} denotes the greatest integer function) is

Option: 1

is equal to 2n
 


Option: 2

is equal to 2n-1
 


Option: 3

is equal to 2n-2
 


Option: 4

does not exist


Answers (1)

best_answer

\mathrm{\frac{\mathrm{n} \sin \mathrm{x}}{\mathrm{x}} \rightarrow \mathrm{n} \text { as } \mathrm{x} \rightarrow 0 \text { but remain less than } \mathrm{n}}

\mathrm{\frac{\mathrm{n} \tan \mathrm{x}}{\mathrm{x}} \rightarrow \mathrm{n} \text { as } \mathrm{x} \rightarrow 0 \text { but remain more than } \mathrm{n}}

\mathrm{\text { so } \lim _{x \rightarrow 0}\left(\left[\frac{n \sin x}{x}\right]+\left[\frac{n \tan x}{x}\right]\right)=n-1+n=2 n-1 \text {. }}

Posted by

mansi

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

NTA Exam Calendar 2027 Out: JEE Main from January 22, CUET PG in March

Latest Question