Given that lim f(x) = 1 x-2 lim g(x) X-2 lim h(x) = 0, -2 %3D %3D

Q: f(x)=x-5 X 1. f(5)= :: f(x) 2. lim (x-5) as x->5 =

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: Let f(r) be the function defined by a r > 3 f(r) = 1 x < 3, 3' Find the value of a if lim f(x) = lim…

A:

Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: (d) lim (3x-2) = ∞ X-∞0

A: The given function is

Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: lim y approaches -3 .............. (5 - y)^4/3

A: We have to find the limit: limy→-35-y43 This is determinate form of the limit so we just have to put…

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

A:

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: 2-V2(3x+1) 2x limx-1 X-1

A: we have to calculate;  limx→12x2-2(3x+1)+2x-1

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: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: Use the graphs of f and g and their tangent lines at (-1,0) to find f(x) lim Number x-1 g(x) y f(x)…

A:

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: lim x + vx - Vx = |

A: Given : To find the limit of the given functionlimx→+∞ x+x-x=?

Q: : State the three-part Definition of Continuity.

A:

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: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

A:

Q: x3 - 1 (x + 1)2 Let f (x) = Find lim f(x)? | x² - 5x + 4 x² + 1 X-1

A:

Q: x² + x - 2 24. f(x) %3D x + 2 lim f(x) (B) lim f(x) (C) lim f(x) (A) x -2"

A:

Q: x2/3 16 18. lim

A: Given that: limx→64x2/3-16x-8

Q: Find lim f (x) if, for all x, 9 cos (4x) <f (x) < 8x2 +9. lim f (x) = %3D

A: The given inequality is: 9 cos(4x)≤f(x)≤8x2+9

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: If f(x) = x² then lim f(x) – f(2) = 0 . x – 2

A: