Question

Solve for the Limit of Function by applying appropriate Limit Theorems

Answer 1

Given to solve,

`\lim _(x\to-1)(2x+2)(x+2)`

From the rules for limits, we can see that for any polynomial, the limit of the polynomial when x approaches a point k is equal to the value of the polynomial at k.

The given function of the limit is a quadratic function, the limit of the quadratic equation when x approaches a point -1 is equal to the value of the quadratic equation at -1.

we get,

`\lim _(x\to-1)(2x+2)(x+2)=(2(-1)+2)((-1)+2)`
`=(-2+2)(1)=0`
`\lim _(x\to-1)(2x+2)(x+2)=0`

Answer is : 0