Question

Find the limit.
lim x->2- (1)/(x-2)

Answer 1

as x----> 2 -, the function heads to minus infinity.

Answer 2

as x-----> 2 +, the function heads to positive infinity.

Answer 3

@Easyaspi314 does the 2 need to be plugged into x?

Answer 4

If you plug in x = 2, you get 1/o undefined...so we know the function is heading to infinity.

The question remains plus infinity or negative infinity..So, as x approaches 2 from the left (x---->2 -), take 1.9, 1.95, and you can see that 1/(x-2) is a negative number, so you can see it's approaching negative infinity.

If you approach 2 from the right (x---->2 +), say, 2.1, 2.01, etc. then the function is positive, heading to positive infinity.

Answer 5

@Easyaspi314 Ok I understand. Thank you.