
2. Evaluate the following limits. a) lim Vr+6-2 23 23 – 3.22 b) lim th h...
4. (10 pts) Evaluate the following limits: (a) lim h0 16+h - 4 h (b) limusin 10
6. Use l'Hopital's rule to evaluate the following limits 1+cos (Te sin(z) (a) lim z-+0 log (-1) (b) lim 92I-2 cos(TI) (c) lim r sin Page 2 of 2 0 words
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
1. (8) Evaluate the following limits: (a) lim«;? () lim (6:1)".
1. Compute the following limits algebraically, if possible: 4.2 +1-3 (a) lim 5.2 – 1 (b) lim 2 - 2 100 3.42 - 2.c 2 (c) lim csc(7x) sin(4x) (d) lim lim (1+3) 20 22 (e) lim +01 – COS X
Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim, 0 2x+cos 2-3 sino 1+36x3-1 (b) lim;-+0 sin(60)(et-1-2)
1. Evaluate each of the following limits: (4 pts ea) b) lim 2- a) lim VF-1 bilim 7-x
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL'S RULE!!) lim 1 - cos(x). 1-0 .22 (b) (5 points) You CAN use DE L'HOPITAL'S RULE!!) In(1 +6x) lim 2-0 C
1. Evaluate (by SHOWING YOUR WORK! You CANNOT use DE L'HOPITAL's RULE!!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) 2 - 31 lim 1++ 2.12 (b) (5 points) Vr-3 lim +91-9
2. (7 points each) Find the exact value of each of the following limits. Write "..." "-00," or "does not exist" if appropriate. It is particularly important to show your work on this problem 1 - 12 (a) lim 2+-1 2-1 12x + 1 (b) lim -100402 +9 sin?(0) (c) lim 3.12 1-0 4. Evaluate the following integrals 22/3 – x5/4 dx (a) (9 points) 1 (b) (8 points) / 72 (c) (8 points) / 9 sin() + cos(22) de...