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If `f : R rarr R` is defined by `f(x) = {((cos3x-cosx)/x^(2), x ne 0),(lambda, x = 0):}` and if f is continuous at x = 0 then `lambda` is equal to

A

(-2)

B

(-4)

C

(-6)

D

(-8)

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The correct Answer is:
B
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  4. f(x) = (sqrt(1+px) - sqrt(1 - px))/(x), -1 le x le 0 = (2x + 1)/(x-2),...

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  6. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

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  7. The value of f(0) so that the function f(x) = ((27-2x)^(1/3)-3)/(9-3(2...

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