1.

Prove that lim x_(n)=2, if x_(n)=(2n+3)//(n+1). Find the number of the term beginning with which the inequality |(2n+3)//(n+1)-2| le epsi, where e=0.1, 0.01, 0.001, is fulfilled.

Answer»


Answer :The INEQUALITY `|(2n+3)/(n+1)-2| LT e` is satisfied for `n GT N=E (1/e-1)`. At e=0.1 the inequality if FULFILLED beginning with n=10, at e=0.01 beginning with n=100, at e=0.001 beginning with n=100.


Discussion

No Comment Found

Related InterviewSolutions