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I have trouble with figure out this can anyone help Evaluating a Limit 2014A Mul

ID: 2839505 • Letter: I

Question

I have trouble with figure out this can anyone help

Evaluating a Limit 2014A Multiple Choice

Evaluate the limit as x approaches -4 for the function y = 3x+1

-11         

13          

Does not Exist      

-9

Evaluate the limit as x approaches -7 for the function Y = ( x^2-49)/(x+7)

-14         

0             

7             

-7

Evaluate the limit as x approaches 7 for the function Y = ( x^2-49)/(x+7)

-14         

0             

7             

-7

Evaluate the limit as x approaches 0 for the function Y = ( x^2+49)/(x+7)

-14         

7             

-7           

0

Evaluate the limit as x approaches 7 for the function Y = ( x^2+49)/(x+7)

-14         

-7           

7             

0

Explanation / Answer

1) lim x-> -4 3x+1

= 3*(-4) +1

= -12+1

= -11

2)x approaches -7 for the function Y = ( x^2-49)/(x+7)

0/0 form

apply L hospital rule

lim x-> -7 2x/1 = 2* -7 = -14

3) x approaches 7 for the function Y = ( x^2-49)/(x+7)

= 0/14 =0

4) x approaches 0 for the function Y = ( x^2+49)/(x+7)

= 49/7 =7

5) x approaches 7 for the function Y = ( x^2+49)/(x+7)

= (49+49)/(7+7)

=98/14

= 7