I need help with this problem, I'm having trouble understanding limit laws and how to use them to determine limits of different combinations of functions. Any explanations will greatly help as I study. Thank you!

21. Use the following graphs and the limit laws to evaluate each limit. Make sure to show all the work. 10 5 , To 10 f (x) g(x) a. lim (f(x) + 9(x)) b. lim (3g(x) - f (2)) c. lim _ f() d. lim sin zone(assume angle is in radians) e. lim 2f (x) - 9(x) f. lim _[x . f(x) - 3g(x)]