Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

Asked by Topperlearning User | 10 Nov, 2016, 12:31: AM
answered-by-expert Expert Answer

limit as x rightwards arrow a of fraction numerator x to the power of begin display style 3 over 5 end style end exponent minus a to the power of 3 over 5 end exponent over denominator x to the power of begin display style 1 third end style end exponent minus a to the power of begin display style 1 third end style end exponent end fraction
equals limit as x rightwards arrow a of fraction numerator begin display style fraction numerator x to the power of 3 over 5 end exponent minus a to the power of 3 over 5 end exponent over denominator x minus a end fraction end style over denominator begin display style fraction numerator x to the power of 1 third end exponent minus a to the power of 1 third end exponent over denominator x minus a end fraction end style end fraction
U sin g space t h e space r e s u l t colon limit as x rightwards arrow a of fraction numerator x to the power of n minus a to the power of n over denominator x minus a end fraction equals n a to the power of n minus 1 end exponent space w e space c a n space w r i t e
limit as x rightwards arrow a of fraction numerator begin display style fraction numerator x to the power of 3 over 5 end exponent minus a to the power of 3 over 5 end exponent over denominator x minus a end fraction end style over denominator begin display style fraction numerator x to the power of 1 third end exponent minus a to the power of 1 third end exponent over denominator x minus a end fraction end style end fraction equals fraction numerator begin display style limit as x rightwards arrow a of fraction numerator x to the power of 3 over 5 end exponent minus a to the power of 3 over 5 end exponent over denominator x minus a end fraction end style over denominator begin display style limit as x rightwards arrow a of fraction numerator x to the power of 1 third end exponent minus a to the power of 1 third end exponent over denominator x minus a end fraction end style end fraction equals fraction numerator begin display style 3 over 5 end style a to the power of negative begin display style 2 over 5 end style end exponent over denominator begin display style 1 third end style a to the power of negative begin display style 2 over 3 end style end exponent end fraction equals 9 over 5 a to the power of 4 over 15 end exponent

Answered by | 10 Nov, 2016, 02:31: AM
CBSE 11-science - Maths
Asked by ns091764623 | 03 Mar, 2024, 08:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sdmbotch1123 | 18 Jan, 2023, 11:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 10 Nov, 2016, 12:31: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×