x, x< 2 X = 2 58. Let h(x) - 3, 2, 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

Q: 10х? + 11ху + y .2 lim +,9) ->(-1,10) 10х2 — 39ху — 4у2

A: Introduction: If a function f(x,y) of two variables x and y, is continuous at the point (a,b), if…

Q: lim2

A: Explained below

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Зх — 4 1. lim 2х+1

A:

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

A:

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: Lm x+h -区 メ+h -x , h#o.

A:

Q: 4. x- 1 lim x- Vx + 5-3

A:

Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: -2x² + x 41. g(x) y 3 - 1 -2 - 1 (a) lim g(x) (b) lim g(x) *→-' 1.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8…

A:

Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: .3 2x -3x lim Зx3 +4 Typ (Туp

A:

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: Evaluate: lim x→-1 x² + 2x + 1

A: Limit: Limit is a mathematical concept based on the concept of proximity that is used to give values…

Q: f(x+h)-f(x) vi) lim h→0 where f(x) h

A: That's easy. Thumb up. Have a good day!!!

Q: 2x² + x – 1t lim x→-1 x + 1

A:

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

A:

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

A:

Q: f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4 <x 6, evaluate lim, →5 9(x).

A:

Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

A:

Q: Graph of y = B(t) y = B(1) a) Evaluate lim B(t). t-2+ b) Evaluate 奥B(). →2- c) Evaluate B(2)

A: Topic - value of limit of function From graph Note - as per bartleby Guidelines We are supposed To…

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: 1. lim 2x+1 2. lim x→3 ズ-3 x-1 ミ- キ* さ

A:

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

Q: (x+Ax)3 4. lim Ax-0 Ar

A: The limit equation is lim∆x→0x+∆x3-x3∆x