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-?
DETAILS Let --4x, XS 2 f(x) (x2 - 9x + 7, X > 2. Evaluate the following one-sided limits. Then decide if lim f(x) exists. (If an answer does not exist, enter DNE.) X-2 (a) lim f(x) x2+ (b) lim f(x) x-2 (c) lim f(x) x-2 DETAILS
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)
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
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 limit using Taylor series. 3 lim 2x2 zle x2 1 X>00
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
G 726y Evaluate the limit, if it exists: lim (x,y)+(0,0) 28 + y4 7 7/2 0 Limit does not exist.
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).
If 4x s g(x) = 2x4 – 2x2 + 4 for all x, evaluate lim g(x). x →1