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underset(h to 0) lim(f(2h+2+h^(2))-f(2))...

`underset(h to 0) lim(f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1))` given that f'(2) = 6 and f'(1) = 4,

A

does not exist

B

`-3//2`

C

`3//2`

D

3

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • lim_(h to 0) (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f'(2) = 6 and f'(1) = 4,

    A
    does not exist
    B
    is equal to -3/2
    C
    is equal to 3/2
    D
    is equal to 3

  • lim_(hrarr0)(f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) [given that f'(2)=6 and f'(1)=4]

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    does not exist
    B
    is equal to -3/2
    C
    is equal to 3/2
    D
    is equal to 3

  • lim_(h to 0) (f(2h+2+h^(2)))/(f(h-h^(2)+1)-f(1))"given that "f'(2)=6and f'(1)=4

    A
    does not exist
    B
    is equal to `-(3)/(2)`
    C
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    D
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