Show detailed work 5. (8 points each) Find the limits: V3x2-6 (a) lim X--00 2x -9x...
5. (8 points each) Find the limits: V3x2-6 (a) lim X-00 2x -9X (b) lim x=0x2-sinx COS X (c) lim x X- 2 2
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)
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...
find the limits analytically, show all steps x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No Response) lim x3 e-x2 (No Response) x → ^ lim lim t3 ? t-3 3 (No Response) Vo Resp (b) Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If a second application of the rule is required, show your calculations. If not, enter NA. Credit for a final answer will not be given without supporting calculations....
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c) 4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
shw work plz Find the given limits. a) lim 24-7 x² + 2x - 35 3 + 7 1 b) lim – +3= 2002
6) If lim f(x)=L and lim g(x)= M, then find: a) lim(/(x)+g(x)) b) lim 7) Sketch one possible graph of a function that satisfies the conditions, f(2)=5 lim f(x)=1 lim f(x)=5 8) fx+8 if x 50 Let f be the function defined by: f(x)={x2-5 if x > 0 a) Find: lim f(x) b) Find: lim f(x) c) Find: lim f(x) 9) Find each of the following limits. band a) lim b) lim
Show detailed work 4. (9 points each) Integration: 77 1 Vx(1+x)2 sinx (b) S3 -dx (6-cos x) 3 (© 1.6.-2) )dx (d) St(t – 5)ºdt (e) 56x?=+*+VX-4 dx
2. (7 points each) Find the exact value of each of the following limits. Write".0,""-.0,"or "does not exist” if appropriate. It is particularly important to show your work on this problem. x3-4x a. lim x-2- x2-4x+4 2x4+4x b. lim X+0 3x4-4x+4 sin v c. lim X+0 VX