1).Give the necessary and sufficient conditions so that
limx-->0 f (g(x)) = f ( limx-->0 g(x))
2).Let f(x) be a quadratic fn. with +ve integral coefficientssuch that for every real a,b b>a a ∫ b f(x)>0. let g(t)=f''(t)f(t) and g(0) =12
then
a)16such qudrices are possible
b)f(x) has either no real roots or distinct roots
c)f(1)min=6
d)f(1)max=11
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