LimitsHard

Question

If f(x) =     and g(x) = , theng(f(x)) is equal to

Options

A.1
B.0
C.4
D.does not exist

Solution

g(f(x))
L.H.L.=g[f(x)]
g(sinx) =g(sinh) =(sin2 h +1) = 1
R.H.L. =g[f(x)] = g(sinx) =g(sinh) =(sin2 h +1) = 1
L.H.L. = R.H.L. = 1
so g[f(x)] = 1

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