Calculus
posted by Labiba on .
Evaluate the limit:
lim 25(x+2)^2 / x3
x>3

25(x3) = 25 x 75
so
[ 25 x 75  x^2  4 x  4 ] /(x3)
[x^2 + 21 x 79 ] / (x3)
(x3) is not a factor of the numerator so I can not get rid of it in the denominator.
as x goes to 3 the numerator becomes 25 and the denominato is 0 so undefined is the answer.
If you mistyped it and mean
[ 25(x+2)^2 ]/ (x3 )
then
[ 25  x^2  4 x  4 ]/ (x3)
that is
[  x^2  4 x + 21 ] / (x3)
 [ x^2 + 4 x  21 ] / (x3)
 (x3)(x+7) / (x3)
x  7
3  7
10
PLEASE US PARENTHESES SO WE CAN TELL NUMERATOR FROM DENOMINATOR !!!!! 
sorry! the question was
lim [25  (x+2)^2] / [x3]
x>3 
so
10 
I figured you must have mistyped it because (x3) simply had to be a factor of the numerator or the question would not have been asked.