Find the following: If a limit does not exist, type DNE. lim f(x) z-8 lim f(x)= Z-0 lim f(x) 2-1 lim f(z)- lim f(x)= z-1 f(1) lim f(2)= z 4 lim = f(4). lim f(x)= Z-4 = f(x)=

Q: For the piecewise function f graphed below, find the following. y-axis 6 5 4 3 2 1 78 9 10 11 12 13…

A: Given the graph of a piecewise function f. The objective is to find limit of the function f at…

Q: 5 if x - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I+…

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Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

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Q: 1. Using the limit rules, find lim f(x) for the following functions: (a) f(x)= 3. (b) f(x)=¿e-2*.…

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Q: Does lim

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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…

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Q: if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist, or "oo" or "-oo"…

A: Given query is to find indicated limit.

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: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

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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: Find the limits as x and as x 0. y = f(x) = 4x³-x4 lim f(x) = X-∞ lim f(x) = 8118

A: Step 1:Given that y=f(x)=4x3−x4Limit as x→∞:As x→∞, the x4 term dominates because x4 grows much…

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: Find the limits.

A: The limit of the function is the value at which the arguement tends to a particular value. This…

Q: LIMITS lim f(x) X→a x² + 9 lim х-з х2 + 2х — 15

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Q: Assuming that lim f(x) = 6 and lim g(x) = 4, calculate each limit. %3D 1+3 (a) lim(f(r) – 29(r)) (b)…

A: Given limits - limx→3 f(x) = 6limx→3 g(x) = 4(a)limx→3 f(x)-2g(x) = limx→3 f(x) - 2limx→3 g(x) =…

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: 3. Sketch a graph of a function (x) for w ich all of the fo lowing are true: lim-2' f(x) = -4,…

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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

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

A: Follow the procedure given below.

Q: lim g(y) where, g (y) = Jy²+5 13-3y lim g (y) y² +5 ify -2 ify <-2 if y2-2 9 (3) = -1.9 DNE y²+5 if…

A: The given function is a piecewise function represented as: g(y)=y2+5   if y&lt;-23-3y   if y≥-2

Q: Create the graph of a function, y = p(x), such that: lim p(x) = 1 x+3* lim p(x) =- 3 x→2 lim p(x) =-…

A: (a) Given  limx→3+px=1limx→2px=-3limx→6px=-2p6=-2

Q: -2 -2 y²+5 if 9(y) = {1-3y if --1 -1.04 DNE (a) lim g (2 3-6 (b) lim g lim g (y) y² +5 y+-2 lim g(y)…

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