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Let f(x) = {{:((a(1-x sin x)+b cos x + 5...

Let `f(x) = {{:((a(1-x sin x)+b cos x + 5)/(x^(2))",",x lt 0),(3",",x = 0),([1 + ((cx + dx^(3))/(x^(2)))]^(1//x)",",x gt 0):}` If f is continuous at x = 0, then (a + b + c + d) is

A

5

B

-5

C

log 3 - 5

D

5 - log 3

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Single Option Correct Type Questions)
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  13. If f(x) = {{:(|x-1|([x]-x)",",x ne 1),(0",",x = 1):}, then

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  14. If f(x) = {{:([cos pi x]",",x le 1),(2{x}-1",",x gt 1):}, where [.] an...

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