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Re: Daily question

Posted by Amit Goyal on Mar 27, 2009; 12:12pm
URL: http://discussion-forum.276.s1.nabble.com/Daily-question-tp2328964p2543982.html

26-28 March, 2009

1) Find the values of a and b such that the function de…fined by
f(x)= 5, if x ≤ 2
= ax + b, if 2 < x < 10
= 21, if x ≥ 10
is a continuous function.

2) Find all the points of discontinuity of f defi…ned by f(x) = |x|-|x + 1|.

3) Suppose f and g are two discontinuous function, then f + g is necessarily discontinuous. Prove or disprove.