Question

limx aproaches2, 3x^2-x-10/x^2-4​

Answer 1

Answer:

⇒ 3x

2

−x−10=(x−2)(3x+5)

⇒ x

2

−4=(x−2)(x+2)

∴ Substituting it in the equation we get

x→2

lim

(x−2)(x+2)

(x−2)(3x+5)

=

x→2

lim

(x+2)

(3x+5)

Now substituting the limit we get,

=

2+2

3(2)+5

=

4

11