3. Find 1. Lim f(x) 2. Lim f(x) 3. Lim f(x) 4. Lim f(x) n→∞0 n→ ∞ n→0+ n→0- x < 0 When f(x) = -& (-1, x ≥ 0 x < 0 4. When f(x) = = XI-R x ≥ 0

Q: lim F(x)- 1. x-1- lim F(x)- 2. x-1+ 3. lim F(x)_ x-1 4. F(-1)= lim F(x)- 5. x-1- 1.8 lim F(x)- 6.…

A: The graph given is- To find the limit at indicated points. Limit exists only when right hand limit…

Q: x, x 2. y=h(x) 4 3 y-2 Show that a. lim h(x) + 4 b. lim h(x) + 3 c. lim h(x) + 2 X-2

A: Given, h(x)=x3,  x&lt;23,  x=2  2,   x&gt;2 now show the limit on x→2…

Q: 30. (а) f(-2) (b) lim f(x) 4 3+ (c) f(0) 2- (d) lim f(x) (e) f(2) -2 1 1 2 3 4 5 (f) lim f() -2- (g)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: lim f(x) f(c) a) lim f(x) 1 DNE x--3 b) lim f(x) DNE 1 x-1 c) lim f(x) -1 -1 d) lim f(x) e) lim f(x)…

A: Graph of the function is given.

Q: f (x) fill in each box with a number rounded to the nearest whole number.

A: Given graph of f(x)

Q: 6. For the function h whose graph is given, state the value of each quantity, if it exists. If it…

A: a)  limx→-3-h(x)=its limits exists and value less than 4b)    limx→-3+h(x)=its limits exists and…

Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 2 -2 2 4 lim_f(x) = 10. lim f(x) 9. x→-3 x→3 11. lim f(x) 12. f(-3) = - x→0 13. lim f(x) = x→4- 14.…

A:

Q: f(x) +3 4+ -4 If lim 3e² 00 0-3 O-4 Oe-3 =e", then lim f(x) =

A:

Q: 3) If the lim f(x) = 2 and lim f(x) = -1 %3D x-3- x-3+ Then what is the lim f (x) = x→3 %3D a) Why?

A: To find the limit of the f(x) at x=3

Q: L True False y -2 then x 1 lim f(x) = 0 y = f(x) 3 X

A: We have to find Lim x approaches to 1 f(x)

Q: How would you denote ƒ' (−1) if ƒ(x) = x² + 3x +2? f(x)-f(-1) x+1 limħ-1 limä→-1 limh→0 limh→0…

A:

Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: . Let (x2 + 1 f(x) = 1( - 2)² if x> 1 if x<1 (a) Find lim,-I- f(x) and lim,→* f(x). (b) Does lim ,1…

A: Given: For (a),     limx→1- f(x)=limx→1 x2+1=12+1=2 and     limx→1+ f(x)=limx→1 x-22=(-1)2 =1

Q: x + 3 2x+3 5. (a) Find f(a) for a = -2,-1,0, 1 if f(x) = x + 2 2 4-x for x 1 (b) Find lim f(x) and…

A: Given: For (a), f(-2)=2(-2)+3=-1f(-1)=DNEf(0)=0+2=2f(1)=2

Q: Which of the following statements is true? ху- 4y 1 A lim 2 (x.y) (4,0) x2-8x+y² + 16 V2x+y-3 lim…

A:

Q: 2. If f(x + y) = f(x) f(y) and if lim (h)-1 6, then f'(x) = = h

A: Introduction: The slope of a tangent line to the curve at any point is expressed by a function's…

Q: b) Let f(x) = x²-1 2-1 ' √x-1 0 < x < 1 1<x<3 2-1 ' 5x+3, 3x Find lim, 1 f(x). 3x-7 c) Let f(x) =…

A: The b part of the question can be solved using the concept of limits.The c part of the question can…

Q: h(x) = floor(x) X 5. h(5)= h(x) 6. lim h(x) as x->5 from the left = 7. lim h(x) as x->5 from the…

A:

Q: f(x)-f(7) B) If f'(7) = 5 then find the lim x+7 Vx - V7

A:

Q: 1.0 1.0 -1 ction f (x) : shown above. (x – 5)(x – 8)² does not exist, Þut is neither o ner -o.

A: Given function

Q: Given the graph of y = f(x), 1 -1 True False y -2 then x2 y = f(x) lim_ƒ (x) = 1 2 3 X

A:

Q: (x² - 3, x<1 4, x =1 a. lim f(x) = 23. For f(x) = - 2x, 1<x<2 b. lim f(x) = (-x² +8, x22

A:

Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: 03 1 -5 -4 -3 -2 -1 2 3 4 5

A:

Q: Find limx→2−  f(x) Find limx→2+  f(x) Find limx→2  f(x) Find f(2)

A:

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A:

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: x- 2 x→2 J4x +1-3 evaluate lim (No estimation, no l'Hopital's rule)

A:

Q: The rectangular plot of land shown in the figure is to be fenced along three sides using 39 feet of…

A: Total fencing is 39 feet and the total area of the plot is 180 square feet. That is,…

Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

A:

Q: if x 3 Let f(x) = then lim3 f(x) is x-3

A: