Please answer this question.

Asked by dineshchem108 | 2nd May, 2019, 09:00: PM

Expert Answer:

begin mathsize 16px style limit as straight x rightwards arrow 0 of space fraction numerator integral subscript 0 superscript straight x space tdt over denominator xtan open parentheses straight x plus straight pi close parentheses end fraction
equals limit as straight x rightwards arrow 0 of space fraction numerator open square brackets begin display style straight t squared over 2 end style close square brackets subscript 0 superscript straight x over denominator xtanx end fraction
equals limit as straight x rightwards arrow 0 of space fraction numerator straight x squared over 2 over denominator xtanx end fraction
equals limit as straight x rightwards arrow 0 of space fraction numerator straight x over denominator 2 tanx end fraction
equals 1 half end style

Answered by Sneha shidid | 3rd May, 2019, 09:32: AM