lim t-->1 t^3/ (t^2-1)^2
I just really want to know if you have to use algebra to factor out the denominator or do i just plug in the values i.e. 0.9 from the left and 1.1 for the right
NEED FOR CLASS AT 10 THIS MORNING!
"plugging in values" doesn't evaluate the limit, in some unusual cases, a function can fluctuate quite wildly near the point the limit is evaluated at.
in your case, what you would need to show that no matter how big a number N you choose, you can pick a value of t close enough to 1 so that
t^3/(t^2 -1)^2 > N. the value that will work, will depend on the number N.