Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739
For Business Enquiry

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

E v a l u a t e space limit as x rightwards arrow 0 of fraction numerator e to the power of begin display style 1 over x end style end exponent over denominator e to the power of begin display style 1 over x end style end exponent plus 1 end fraction

Please provide solution to this question

Asked by Topperlearning User 16th November 2016, 4:33 AM
Answered by Expert
Answer:

L e t space u s space c a l c u l a t e space t h e space l e f t space h a n d space l i m i t
limit as x rightwards arrow 0 to the power of minus of fraction numerator e to the power of begin display style 1 over x end style end exponent over denominator e to the power of begin display style 1 over x end style end exponent plus 1 end fraction equals limit as x rightwards arrow 0 to the power of minus of fraction numerator 1 over denominator 1 plus e to the power of negative begin display style 1 over x end style end exponent end fraction
equals limit as h rightwards arrow 0 of fraction numerator 1 over denominator 1 plus e to the power of begin display style 1 over h end style end exponent end fraction
equals 0
R i g h t space h a n d space l i m i t space
limit as x rightwards arrow 0 to the power of plus of fraction numerator e to the power of begin display style 1 over x end style end exponent over denominator e to the power of begin display style 1 over x end style end exponent plus 1 end fraction equals limit as x rightwards arrow 0 plus of fraction numerator 1 over denominator 1 plus e to the power of negative begin display style 1 over x end style end exponent end fraction
equals limit as h rightwards arrow 0 of fraction numerator 1 over denominator 1 plus e to the power of begin display style negative 1 over h end style end exponent end fraction
equals 1
L H L not equal to R H L space s o space t h e space l i m i t space d o e s n apostrophe t space e x i s t

Answered by Expert 16th November 2016, 6:33 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

29th January 2017, 8:15 PM
30th January 2017, 12:48 PM
31st January 2017, 10:03 AM

Chat with us on WhatsApp