1.

Prove that the sequence with the general term (a) x_1=(1-(-1)^(n))/(n) (b) x_n=1/n sin [(2n-1)pi/2]

Answer»


Answer :For `a gt 1" PUT "rootn(a)=1+alpha_n (alpha_n gt 0)` and,with the aid of the inequality `a=(1+alpha_(n))^(n) gt nalpha_(n)`, prove that `alpha_n` is an INFINITESIMAL. For `a LT 1` put `rootn(a)=(1)/(1+alpha_(n)) (alpha_n gt 0)` and make USE of the inequality `1/a=(1+alpha_(n))^(n) gt nalpha_n`


Discussion

No Comment Found

Related InterviewSolutions