Let f(x, y) = (x² – y²) / (x² + y²). Why does - lim (x,y)→(0,0) f(x, y) not exist? You are dividing zero by zero The limit does exist O f(0,1) = 1, but f (1,1) = 0

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: Give an example of two differentiable functions f(x) and g(x) such that: lim, 00 f(x) = lim, 0 9(x)…

A:

Q: HOSPitars fule lim X->0+ ex-1 Hx

A: Given that limx→0+1x-1ex-1Solution :limx→0+1x-1ex-1limx→0+ex-1-xxex-1Applying L hospital…

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0-…

A:

Q: (6,5). (1.4) (-4,2), (6,2) -2 6. 8 -2 9(1-2) lim f(z) = I4-4- -4 00 4.

A: Given the above figure. To find limx→-4-f(x)

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

A:

Q: Q5 5 points The equation Of the line passing through the point P1(2,5) With slop 3/4 is Y=4X+C True…

A: Question (5) FALSE

Q: (i) limx-0,y-0,2–0 81yz (22+7y2+6z2) answer/antwoord = %3D 9æy? 49x2+49y? (ii) limx-0,y-0…

A: Here we will calculate the limit for an individual variables. For a limit of x (Substitute y=0, z=0)…

Q: 7) Use the graph and associated table of f1(x), approximate the following limit: lim f1(x)=

A: On the graph, we draw a vertical line from x=2 and a horizontal line from that point where it…

Q: Use l'Hôpital's Rule to evaluate the limit. x² - 8x+15 x-3 lim x-3 OA. 6- OB. 14 OC. -2 OD. -5

A: Limx-3(x2-8x+15)/(x-3) Find the limit.

Q: lim g (y) where, g (y) = = y² +5 3-3y lim 9 (y) y² +5 ify < -2 -9 lim g(y) 3-3y if y≥-2 y-2 ify <-2…

A:

Q: Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

A:

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: Use the graph of the given function f(x) below to find the following. If something does not have a…

A: Solution:

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

A:

Q: 2 メーズ Lim メ→&-X

A: Evaluate: limx→∞ex-x2ex-x

Q: lim g (y) where, g (y) = Jy²+5 3-3y lim g (y) y² +5 ify < -2 -9 lim g (y) 3-3y if y2-2 ify <-2 if…

A: Given :limx→-2gy where gy=y2+5if y &lt;-23-3yif y≥-2

Q: lim g(y) where, g (y) = [y²+5 13-3y lim g(y) y² +5 ify < -2 y+ 2 lim g(y) 3-3y if y≥-2 ify <-2 if…

A: First we have: gy=y2+5      if y&lt;-23-3y     if y≥-2 Now, limy→-2 gy=limy→-2y2+5=9          if…

Q: 6. Calculate limit: lim tg x X→0 2-V4+3x

A: Here we have to calculate Limit =limx→0 tgx2-4+3x

Q: Ex x-2 XE3, X-2 12) Consider メレ3 2) lim. (f(x) b) lim. (f(x)

A: Topic:- limit

Q: Determine the limits if they exist for the function lim (x,y) → (0,0) 1 – x - y /x 2 + y 2

A: We will find out the required limit.

Q: 2 ež h(x) 1 - 4 What is lim h(x)? x→+∞

A:

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Use the limit definition of the derivative to determine f '(2) if gnibnoqonos su snimals (T ni 4 =…

A:

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: = lim g (y) where, g (y): +-2 y²+5 3-3y lim g(y) y² +5 ify < -2 -9 lim g(y) 3-3y if y ≥-2 ify <-2 if…

A: Part (1):-  Given function is gy = y2+5    if y&lt;-23-3y   if y≥-2