4) Evaluate the “indeterminate difference" lim V x² + 8 x + 17 - 2 –...
9-24 Evaluate the limit, if it exists. 2 - 6x + 5 9. lim 10_lim x² - 4x 3-4 x - 5 why. - 5x4+ 6 -5 2r² + 3xunt 12. lim 1-1 r2 - 2x 13. lim 21,7t + 3 14. lim -182 - 3x - 4 4 + 12 – 16 15 lim 16. lim h 0 (2 + h): - 8 h 1 + 1 - 1 h 17. lim -27 + 8 18. lim h 0
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
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.)
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...
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Evaluate the following limit using Taylor series. 8 tan* *(x) – 8x+x lim x³0 33³ 8 tan (x) – 8x + x2 lim X-0 = (Simplify your answer.) 3x
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-?
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 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)
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:
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