Maharashtra State BoardHSC Science (General) 11th
Advertisement Remove all ads

Select the correct answer from the given alternatives. limx→-2(x7+128x3+8) = - Mathematics and Statistics

MCQ

Select the correct answer from the given alternatives.

`lim_(x -> -2)((x^7 + 128)/(x^3 + 8))` =

Options

  • `56/3`

  • `112/3`

  • `121/3`

  • `28/3`

Advertisement Remove all ads

Solution

`112/3`

Explanation;

`lim_(x -> -2)(x^7 + 128)/(x^3 + 8)`

= `(lim_(x -> -2) (x^7 - (- 2)^7)/(x - ( - 2)))/(lim_(x -> -2)(x^3 - ( - 2)^3)/(x - (- 2)))`

= `(7( - 2)^6)/(3(- 2)^2)`

= `112/3    ...[because lim_(x -> "a") (x^"n" - "a"^"n")/(x - "a") = "na"^("n" - 1)]`

Concept: Factorization Method
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×