IIT Kanpur Question Papers

Will you please provide the Mid term Maths exam question paper of IIT Kanpur so that I can get idea that what types of questions are asks in exam ?

[Kiran Chandar]

Here I am providing the list of few questions of Mid term Maths exam question paper of IIT Kanpur which you are looking for .

1. (a) For a 0, let x1 = a and xn+1 = 1
5 (x2 n + 6) for all n 2 N. [8]
i. Find (all) the values of a in [0;1) for which (xn) is decreasing/increasing.
ii. Verify whether the sequence (xn) converges if 3 < a < 7

2 .(b) Suppose P1n=1 janj converges. Show that for > 0, there exists N 2 N such that
jPni=m aij < for all m; n 2 N satisfying n > m > N. [4]

2. (a) Let f : (_1; 1) ! R be a twice di_erentiable function such that f00(0) > 0. Show
that there exists n 2 N such that f( 1
n) 6= 1. [7]
(b) Let 0 < x0 < 1. Using the _xed point iteration method generate a sequence of
approximate solutions of the equation x3 _7x+2 = 0 for the starting value x0. [5]

IIT Kanpur Mid term Maths exam question paper