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Q.

Given f(x)=4−12−x2/3,g(x)=tan⁡[x]x,    x≠01,    x=0,h(x)={x},k(x)=5log2⁡(x+3)then in [0, 1] Lagrange's mean value theorem is NOT applicable to the (where [.] and { .} represents greatest integerfunctions and fractional part functions, respectively)

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a

f

b

g

c

k

d

h

answer is A.

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Detailed Solution

f is not differentiable at x=12g is not continuous in [0,1] at x=0h is not continuous in [0,1] at x=1k(x)=(x+3)ln2⁡5=(x+3)p, where 2
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