(b) +11 1°) 1x2 + 2x3 3x4*.
Question
Fullscreen

(b) +11 1°) 1x2 + 2x3 3x4*.

JEE/Engineering Exams
Maths
Solution
146
Rating
4.0 (1 ratings)
Fullscreen
( S_{n}=frac{1}{1 times 2}+frac{1}{2 times 3}+frac{1}{3 times 4}+cdots ) ( E frac{2 sqrt{2}}{1 times 2} ) ( T_{n}=frac{1}{n(n+1)}=frac{n+1-n}{n(n+1)}=frac{1}{n}-frac{1}{n+1} ) ( S_{n}=left(frac{1}{1}-frac{1}{2}right)+left(frac{1}{2}-frac{1}{3}right)+left(frac{1}{3}-frac{1}{4}right) ) ( +cdots+left(frac{1}{n}-frac{1}{n+1}right) ) ( =1-frac{1}{n+1}=frac{n+1-1}{n+1}=frac{n}{n+1} ) ( frac{11}{n+infty} S_{n}=frac{14}{n+infty} frac{n}{n+1}=frac{11}{n+infty} frac{1}{1+frac{1}{n}}=frac{1}{1+0} ) ( =1 )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free