a) limit as x--> -0 100/50x+1 = 100/50 (0) +1 = 100

b) x--> infinity x^2 +1/ x^2. =. x--> infinity = 1 + 1/x^2. So limit = 1 +0 =1

Please note that this problem requires you to use a graphing utility. There are number of them available such as SPSS, TI 84 graphing calculator, Excel etc. I believe easiest is to use TI 84. This is very popular with students. As I do not know with which of these you are familiar with, it is best for you to select the one you are familiar with and draw the graph of each of these functions and then show the limit of the function as x approaches to the given limit. If you need help, go to internet and look for you tube video and then draw the required graphs using the selected utility.