lim x-->2 (x+2)/(x-2) =?

Answer 1

The limit does not exist

Check it out on the grapher:

http://www.coolmath.com/graphit/

As x ---> 2-, the limit is -infinity
As x ---> 2+, the limit is +infinity

Since lim x---> 2- f(x) (not)= lim x---> 2+ f(x)
lim x---> 2 does not exist.

Answer 2

The limit does not exist because the answer would be 4/0.

And if you graph the limit, you will see there's an asymptote at x=2. Also the left hand limit is going to neg. infinite while the right hand limit is going to positive infinite. The right and left limits much match to have an actual value. In this problem, its different so the answer Does Not Exist

Answer 3

f(x) = (x+2)/(x-2)
{as you know we cant simplify this fraction; and now we have to find the limit in right side and left side}

a) lim (x+2)/(x-2)= lim (2+2)/(2-2)=lim (4/0) =+ ∞{ its right limit}
x –>2+


b) lim (x+2)/(x-2)= lim (2+2)/(2-2) = lim (4/0)= - ∞ { its left limit}
x –> 2-

Its our correct answer.

Good Luck

Answer 4

is 0

Answer 5

The numerator becomes 4, the denominator becomes 0.

If the denominator goes to zero but the numerator remains non-zero, the limit is plus or minus infinity.

Answer 6

If x approaches 2 from the positive side (e.g. 2.0000001), then (x+2)/(x-2) approaches positive infinity.

If x approaches 2 from the negative side (e.g. 1.9999999), the (x+2)/(x-2) approaches negative infinity.

In view of this, the limit of x-> 2 does not exist.

Answer 7

undefined because you have 0 in the denominator as x approaches 2:
the equation approaches 4/0

Answer 8

(7x - x + a million) - (2x^2 - x - 3) - (5x + 3x - 10) = (6x + a million) - (2x^2 - x - 3) - (8x - 10) = 6x + a million - 2x^2 + x + 3 - 8x + 10 = -2x^2 + 6x + x - 8x + a million + 3 + 10 = -2x^2 - x + 14

Answer 9

Infinity.

Answer 10

Graph the line and find out. X can not be 2.