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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

(a)5

B

(b)-5

C

(c)log 3 - 5

D

(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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  2. Consider f(x) = {{:((8^(x) - 4^(x) - 2^(x) + 1)/(x^(2))",",x gt 0),(e^...

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