# Evaluate the Limits?

##
Evaluate the limits

A) #lim_(x->2) ((3x^2-7x+2)/(x-2))#

B) #lim_(x->-3)(x+3)/(sqrt(x^2-5)-2)#

C) #lim_(x->-2)(x^3+x^2-8x-12)/(x^3+8x^2+20x+16)#

Evaluate the limits

A)

B)

C)

##### 1 Answer

A)

B)

C)

#### Explanation:

One way to do this is to graph this and look at the the function as it approaches the desired limits so in this case for the first one as

If you want the more specific way then do this:

A) The first one is solved by factoring because if you directly substitute the number

Factor the numertor:

now subsitute the

B) This one also gives

Flip the numerator and denominator

Plug-in

C) If you plug-in right away you get the same thing

Here what you do is take the derivative of both numerator and denominator seperately because you have an

**Derivative of numerator:**

use the power rule and you get:

**Derivative of denominator:**

using power rule again:

Now to evaluate the limit by plugging-in