need help solving this, and comfirming answers. 5. lim 2-5 x0 X 6. lim x2 + NIP x-2 x+12 -4 7. lim X-4 x-4
Find the limit lim (x,y) → (0,0) x2 + y2 a. Does not exits O b.o c. None of these d.
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
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....
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
12 lim f(x), and lim f(x) Use oo or - co when appropriate ra x-a Find all vertical asymptotes, x= a, of the following function For each value of a, evaluate lim f(x) x-a x2 - 10x +21 f(x) = x2 - 7x + 12 Select the correct choice below, and fill in the answer box if necessary OA The vertical asymptote is x = The limits at this vertical asymptote are lim f(x)= xa lim f(x) xa and tim...
Suppose that lim tex) = and lim g(x) = - . Find the following limits. x2 a. lim [f(x) +5g(x)] X2 b. lim [f(x)g(x)] c. lim [2f(x)g(x)] f(x) d. lim X 2LX) - g(x) X- 2 lim [f(x) + 5g(x)] =D (Type an integer or a simplified fraction.) lim [f(x)g(x)] = X- 2 (Type an integer or a simplified fraction.) lim [2f(x)g(x)] = X-2 Suppose that lim f(x) = and lim g(x) = - X2 X2 . Find the following...
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...
line response. lin0g(x).-3. Namethelimitruiesthatareusedto steps (a) (b), and (c) of the following calculation. x-0 (f(x) +15) 1/2 (b) lim -f)- lim 3gt)(1 lim fix) -3 lim g) lim (-1f(x) -3g(x)) lim (f(x) 15) x--0 (c) x-0 x--0 lim fx)+lim 15)1/2 l (y 15)12( ( 15)1/2 A) (a) Difference Rule (b) Power Rule (c) Sum Rule B) (a) Quotient Rule C) (a) Quotient Rule D) (a) Quotient Rule (b) Difference Rule (c) Constant Multiple Rule (b) Difference Rule, Power Rule (c)...
Evaluate x – 6 2x2 lim *-2 x2 х -2 A. 7 minim C. 2 D. E. Does not exist