Evalute the following limit:-

Asked by soumen_tiku | 26th May, 2017, 12:50: PM

Expert Answer:

begin mathsize 16px style limit as straight x rightwards arrow 2 of open parentheses fraction numerator 3 to the power of straight x plus 3 to the power of 3 minus straight x end exponent minus 12 over denominator 3 to the power of 3 minus straight x end exponent minus 3 to the power of begin display style straight x over 2 end style end exponent end fraction close parentheses
Put space space straight x equals 2 plus straight h
as space straight x rightwards arrow 2 rightwards double arrow straight h rightwards arrow 0
limit as straight h rightwards arrow 0 of open parentheses fraction numerator 3 to the power of 2 plus straight h end exponent plus 3 to the power of 3 minus open parentheses 2 plus straight h close parentheses end exponent minus 12 over denominator 3 to the power of 3 minus open parentheses 2 plus straight h close parentheses end exponent minus 3 to the power of begin display style fraction numerator open parentheses 2 plus straight h close parentheses over denominator 2 end fraction end style end exponent end fraction close parentheses
We space will space appreciate space if space you space do space the space further space solution space and space post space it space to space us. end style

Answered by Sneha shidid | 26th May, 2017, 04:30: PM