I need descriptive solutions for the following questions.

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1151 Midterm 1 - Review Problems Problem 1 Functions g and h are given below: 9(3) 2 5|;c 1| and h(.'l)) 2(1): 1)2 (a) Find the limit. Justify your answer. (Possible answers include a number, +00, 00, or \"Does Not Exist\") . . 9(93) - 9(3) (1) Bang 1: 3 lm1 sn>1 h(a:) (b) Let f be a function satisfying g(;t) S f (at) S h(;c) for all .2: in the interval (0, 2). Find the following limit or say \"Does Not Exist\" or \"It cannot be determined\". Justify your answer. lim f(1:) :n>1 _l Problem 2 Evaluate the following limits. Show your work. (Possible answers include a number, +00, 00, or \"Does Not Exist\") You may NOT use a table of values, a graph, or use L'Hpital's Rule to justify your answer. . \\x22 , lw f 1 (egg 30-3 (Mitts7 ' 7r , 66m + 6\" (b) .135: w (E) (g) .1132: W 91:2 + 1 . Sin (gait) ' 1_ h 1 (C) $113100 61: _ 5 ( ) $1311- ln(5 at) (d) 1' x6 _ 2x5 _ 2 (i) lim 1n (cos (V3934 + 272)) $33100 $5 _ 3x 12)0 sin(x) + cos(x) _ (x2 + 3)2 9 . . e'm l (e) glint, $2 0) .251 1:2 +490