Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x...
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
sin Use the relation lim 00 = 1 to determine the limit of the given function. tan (4x) f(x) = х tan (4) lim x0 Х (Type an integer or a simplified fraction.)
Use series to evaluate lim e x0 -(1+x) 2x X-0 2x (Type a simplified fraction.)
3. (5pts each)Assume that a and b are constants. Evaluate each limit (MUST SHOW WORK!). If it does not exist, write DNE. lim (ax)2-12 Jax+b1 a. X- a b. lim X-00 5-4x V9x2+7 C. sin(2x) tan(6x) lim x0 x sin(3x) d. lim (e-* In(x)) x-00
evaluate the limit if exsist e) lim x2-3x+2 *2-2x x-2 (x2-3x+2 x2 x2-2x yes, this is the SAME limit as in parte) Demonstrate ANOTHER (still algebraic/non-numerical) way to find this limit than you used in parte).
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....
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate the limit using L'Hospital's rule if necessary sin(6x) lim 1+0 sin(12.) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. וכפטנט Du Evaluate the limit using L'Hopital's rule 523 lim e41 Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
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)
Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim X-70 8 sin 3x 7x 8 sin 3x lim X-0 7x (Type an exact answer.)