Click Here For Printable Version Do not press submit until a

Click Here For Printable Version Do not press submit until all questions are colored green and you have double checked your Question 1 lim 3x-4 Goo 4x2 2 x 1 b) d) does not exist f ONone of the above. Question 2

Solution

lim x---> inf (3x-4) / ( 4x^2 + 2x -1 )

dividing by highest denominator exponent

lim x---> inf ( 3/ x - 4/x^2 ) / ( 4 +2/x - 1/x^2 )

=   lim x---> inf    ( 3/ x - 4/x^2 ) / lim x---> inf   ( 4 +2/x - 1/x^2 )

= lim x---> inf    ( 3/ x - 4/x^2 ) = 0

lim x---> inf   ( 4 +2/x - 1/x^2 ) = 4

= 0/4 = 0

hence, final answer is 0 (option e)