PLEASE HELP!!!! I DONT UNDERSTANDDD Limits involving infinity

Question

Decribe the graph behavior of a function f that satisfies all of the following conditions:

lim x —> infinity f(x) = 0

lim x —> –infinity f(x) = 0

lim x —> 1^+ f(x) = infinity

lim x —> 1^– f(x) = –infinity

lim x —> –1^+ f(x) = infinity

lim x —> –1^– f(x) = –infinity

Answer 1

f(x)=1/(x²-1) which is from 1/[(x+1)(x-1)

almost works. x approach infinity+/- the f(x) approaches zero.

at x=+1 the criteria is also met. But at x=-1, when x approaches from

positive side f(x) is infinite correction= infinite negative which is opposite

the criteria. Can you see if this answer is enough to have

you understand?