+2 votes
in JEE by kratos

Given f(x) = (ex - cos2x - x)/x2 for x ∈ R - {0} g(x) = {(f({x}), for n < x < n + 1/2), (f(1 - {x}), for n + 1/2 ≤ x /, n + 1)(5/2, otherwise) n ∈ I {(where {x}denotes), (fractional part), (function) then g(x) is

(A) discontinuous at all integral values of x only

(B) continuous everywhere except for x = 0

(C) discontinuous at x = n + 1/2; n ∈ I and at some x ∈ I

(D) continuous everywhere

1 Answer

+5 votes
by kratos
 
Best answer

Answer is (D) continuous everywhere

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