I have a whole packet on continuity and i dont understand it at all. I have tried using my book but im at a loss. I have two questions one involving infinity.

(6x-18)/(x^4-14x^3+49x^2) or 6x - 18 all over x to the 4th - 14x cubed + 49x squared

Find each point of discontinuity of f and for each give the value of the point of discontinuity and evaluate the indicated one-sided limits.

Evaluate the following limits

lim as x approaches infinity (11-x)(9+7x) all over (3-8x)(5+10x)

lim as x approaches negative infinity (11-x)(9+7x) all over (3-8x)(5+10x)

please anyone who can help im not looking for the answers just a better understanding of how to solve for continuity.

Thanks

AC