Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Evaluate the following limits limit x tends to - 2 1 / x + 1 / 2/ x+ 2

12.   Evaluate the following limits \lim_{x\rightarrow -2} \frac{\frac{1}{x}+ \frac{x}{2}}{x+2}

Answers (1)

best_answer

\lim_{x\rightarrow -2} \frac{\frac{1}{x}+ \frac{x}{2}}{x+2}

Here, since denominator becomes zero on putting the limit directly, so we first simplify the function and then put the limit,

\lim_{x\rightarrow -2} \frac{\frac{1}{x}+ \frac{x}{2}}{x+2}

=\lim_{x\rightarrow -2} \frac{\frac{x+2}{2x}}{x+2}

=\lim_{x\rightarrow -2} \frac{1}{2x}

= \frac{1}{2(-2)}

= -\frac{1}{4}  (Answer)

 

Posted by

Pankaj Sanodiya

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE OSM row: Congress calls govt action “eyewash”, demands Pradhan’s removal
anam-khan

CBSE upgrades re-evaluation portal, extends session limits for students
anam-khan

CBSE gets new chairman, secretary; no central post for former secretary till December 2030

Latest Question