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Question

Let f(x)=3x107x8+5x621x3+3x27.
The value of limh0f(1h)f(1)h3+3h is

A
503
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B
223
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C
13
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D
None of these
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Solution

The correct option is D None of these
Given
f(x)=3x107xx8+5x621x3+3x27
1=limh0f(1h)f(1)h×hh(h2+3)
=limh0f(1)×1h2+3
L=f1(1)3
f1(x)=30x956x7+30x563x2+6x
f1(x)=3056+3063+6
=53
L=(53)3
L=533

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