If f(x) is derivable at x=3 and f′(3)=2, then limh→0 f3+h2−f3−h22h2 equals to
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a
0
b
2
c
6
d
Does not exists
answer is B.
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Detailed Solution
Given that f(x) is derivable at x=3 and f1(3)=2 Consider limh→0 f3+h2−f3−h22h2 =limh→0 f'3+h22h−f'3−h2-2h4h by L'hospital rule = limh→0 f'3+h2+f'3−h22 =2 f1(3)2 =2