5. lim f(x) = +, lim f(x) = 0 and f(-1) = 0 6. lim f(x) = +, lim f(x) = 0 X-1- x- 1+ x- 1+ and f(-1) = -1

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: 5. Evaluate lim sin(x)-(x² +3x– e*). 1-0

A:

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: Calculate each of the limits in Exercises

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: x tan 2x-2x tan x lim- x→0 (1cos 2x)

A:

Q: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

Q: 1- V1– x2 с) lim x→0 [without using l'Hospital Rule] x2 -1- x – a? d lim x→0

A:

Q: 2. f(2)-1(;) If f(x) = arcsin x, then lim is X- 2

A:

Q: Sketch the graph of an example of a function f thatsatisfies all of the given conditions.

A: As f(0) = 3, so there is closed circle at the point (0, 3). The left-hand limit, right-hand limit,…

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

Q: lim In(r) - 0t

A: Consider the given limit

Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

A:

Q: 5. If lim f(x, y) = 5 (x,y)→(3,–7)" %3D for every curve C in R? containing the point (3, -7), what…

A: If limx,y→3,−7fx,y=5  is true, then it represents that limit exists atpoint (3,-7) for function…

Q: (a) lim sih 7x (b) lim x 0 sin 7x x - 9 (c) lim x-9 x - 3

A:

Q: 8. Evaluate the limit by using a change of variable. x* - 1 Vx – 2 а. lim 8 x - 8 d. lim Vx – 2 27…

A: According to the L' Hopital rule, if the limit of a rational function, f(x)=N(x)D(x) , is to be…

Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

A:

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

A:

Q: a) lim f (x) : d) lim f(x) : x-4 x--3 b) lim_f(x)= e) VA: x--3- c) lim f(x) = f) f (x) has…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: lim x In(2x) x→0+

A:

Q: b- lim [In(cos(x))]= x->0

A: Given that:limx→0[ln(cosx)]x

Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

A:

Q: 1. lim x-> -7 f(x)=    2. lim x-> -3 f(x) =  3. lim x->-2- f(x)=

A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…

Q: lim (In x) x→0+

A: Given,          limx→0+lnx

Q: -1, x0 c. lim f(x), where f(x) =

A:

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: 1-cos (x-m) lim

A:

Q: Find  lim x→∞ h(x),  if it exists. f(x) = 3x2 + 2x + 1   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A:

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here      limx→1- f(x)=1    and            limx→1+ f(x)=2 here                            limx→1-…

Q: 1/x, if x – 1 С. 1/x, if x – 1[ %3D X- -1

A: c) f(x) = 1/xx≤-1x2-2x&gt;-1limx→0f(x) = limx→0(x2-2) = 02-2 = 0-2 = -2

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: z² +et= 1-400 2z-e² 2* - 3* 17. lim- x-0 18. lim cotxln(x+1) x-0 16. lim-

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: x2-x-2 2x-4 2sin(6x–12) 3(x-2) Sx-1 Let f(x)* ,g(x) • and h(x) Vz+2+1 a. Find lim f(x), lim g(x),…

A:

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

A:

Q: F(x)={tan(x+3) x3-) f(x) Photo better depicts problem, thank you!

A: Given,           Fx=tanx+3x&lt;-3x+33+1-3≤x

Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

A:

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 /  (…

A:

Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

A:

Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

A:

Q: 1.    lim x → − 5 + F ( x ) 2.   lim x → − 2 − F ( x ) 3.  lim x → − 2 + F ( x ) 4.  lim x → − 2…

A:

Q: b. Is lim (x sin x) = lim f(x)g(x) = lim f'(x) lim gʻ(x) = ( lim 1)( lim cos x) = 1 a true or false…

A: Let we need to determine this limitlimx→0(xsinx)

Q: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: Find the limit of sec x as x approaches x lim sec x x->0

A: Topic = Limits

Q: We determined that l'Hospital's rule applies to the limit  lim x→5   x2 − 10x + 25 x2 − 5x

A:

Q: f(4) = f(0) = f(-3) = lim,-2+ f(x) =, limx-2- f (x) = lim,-3+ f(x) = limy-3- f (x) = = limy-4 f(x) =…

A:

Q: 1/x 2 In(5x) H lim 2 5x = lim lim lim X- V 5x 5x 2 5x

A: The solution of given problem as follows: