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

Q: sinx lim : = 1

A: For the limit value to exist the value of left limit and right limit should be equal.

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: 3x+9 lim x=3 X2-9

A:

Q: x(T/2)+ x 39. lim x csc x X21T x22x 1:

A: Given expression is: According to the properties of limits: Using the above property:

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: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

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

A: Topic -limits

Q: If 1(x) = 8x+9 find lim t(x). 10x+6' X+00

A: The given function is tx=8x+910x+6.

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: 2x + 1 Let f(x) Find lim f(x) %3D x - 1

A: Given functionf(x)=2x+1x-1

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

A:

Q: a. limx→5 3 b. limx→2 7x – 4 c. limx→1 x²-1 x-1 d. limx→0 e. lim 3 f. limx→3 sin 5x X 1 (x-3) 1…

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Q: We know lim 2x -1 = 5 x→3     What value of x guarantees that f(x) = 2x -1 is within 0.2 units…

A: Given- limx→32x-1=5 To Find- The value of x that guarantees that 2x-1 is within 0.2 units of 5.

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

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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: 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