Consider the function f(x) =x^2 + x. Fin...

Consider the function `f(x) =x^2 + x`. Find the `lim_(xrarr1) f(x)`

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Knowledge Check

Let f(x) be twice differentiable function such that f'(0) =2 , then, lim_(xrarr0) (2f(x)-3f(2x)+f(4x))/(x^2) , is

A

6

B

3

C

12

D

none of these

Let f(x)=(sqrt(x+3))/(x+1) , then lim_(xrarr-3)f(x)

A

is 0

B

does not exist

C

is `1//2`

D

is `-1//2`

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Consider the function : f(x)={{:(x+2",", x ne 1), (0",", x =1.):} To find lim_(x to 1)f(x) .

Let f(x) be a twice-differentiable function and f'(0)=2. The evaluate: lim_(x rarr0)(2f(x)-3f(2x)+f(4x))/(x^(2))

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MAHAVEER PUBLICATION-LIMITS-QUESTION BANK

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