Evaluate: lim(x rarr -2) (2x^(3)-x^(2)-1...

Evaluate: `lim_(x rarr -2) (2x^(3)-x^(2)-13x-6)/(3x^(2)+x-10)`.

A

`-(5)/(7)`

B

`-(17)/(5)`

C

`-(15)/(11)`

D

`-(10)/(3)`

Verified by Experts

The correct Answer is:

C

Factorize the numerator and the denominator and cancel the common factor then substitute x = -2.

Similar Questions

Explore conceptually related problems

Evaluate: (lim)_(x rarr2)(x^(3)-6x^(2)+11x-6)/(x^(2)-6x+8)

Evaluate lim_(x rarr2)(x^(3)-8)/(x-2)

Evaluate: lim_(x rarr2)(x^(2)-4)/(x+3)

lim_(x rarr2)(x^(3)+x^(2)-12)/(x^(3)-x^(2)-x-2)

Evaluate: lim_(x rarr2)[2(x+3)+7]

lim_(x rarr2)(x^(2)-3x+2)/(x^(2)+x-6)

Evaluate: lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)] .

Evaluate: lim_(x rarr0)(3^(2x)-2^(3x))/(x)

Evaluate lim_(x rarr oo) (2x+3)/(x-5) .

Evaluate: (lim)_(x rarr2)(x-2)/(x3-33)