= 3 and lim [3f(x) + Suppose f and g are continuous functions such that g(9)- 12. Find f(9) f(x)g(x) x9

Q: نقطة واحدة If a function is continuous .7 at a point, then its first * derivative may or may not…

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Q: If x3 f(x) s x for x in [-1,1], find lim f(x) if it exists. X-0

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Q: Suppose f and g are continuous functions such that g(5) = 6 and lim_ [3f(x) + f(x)g(x)] = 27. Find…

A: Given: limx→53fx+fxgx=27, g5=6 For finding value of f5, we put x=5 in given limit

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

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Q: Let f(x) be given by x²+1 if x 2 Find lim f (x) x-2 (А) 5 B 0 -5 D the limit does not exist

A: As it is the concept of limits. First we will check whether the limit exists or not. We will check…

Q: If f and g are continuous functions with f(-3) = 4 and the following limit, find g(-3). lim [4f (x)…

A: Given: limx→1f(x)-4x-1=7 Also f and g is continuous function with f(-3)=4  and limx→-3[4f(x)-g(x)]=9…

Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: Find two functions f and g such that lim f(x) and lim g(x) do not exist, but lim [f(x) + g(x)] * 0…

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Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x)exist. x -2

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Q: - 4x + 3 Let f(x) x2 + 2x – 3 Calculate lim f(x) by first finding a continuous function which is…

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Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

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Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: If f and g are continuous functions with f(0) =3  and lim x→0 f(x)g(x)=6 , find g(0). g(0)=

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Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

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

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Q: Suppose f and g are continuous functions such that  g(4) = 3  and  lim x → 4 [3f(x) + f(x)g(x)] =…

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Q: 4. Evaluate the limits of the following functions: a) limsinx x-0 sin x-tan x 6 b) lim x-2 x2+2x-8)…

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Q: Suppose f and g are continuous functions such that  g(6) = 3  and  lim x → 6 [3f(x) + f(x)g(x)] =…

A: Given: g(6) = 3 lim x → 6 [3f(x) + f(x)g(x)] = 36     To determine: f(6)

Q: Suppose that f and g are continuous functions such that f(3) = 4 and lim[f(x) + 8g(x)] = 52. Find…

A: Note that if a function is continuous at a point, then the limit of that function at that point must…

Q: 1 Let f(x) =. 1,0sx<2 .Determine lim f(x) -x² + 4x – 3, x 22 X2+

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Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

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Q: 1. Given that f (x) = -x² + 4x, and a = 2, find f(a + h) – f(a) lim h→0 h Explain the meaning of the…

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Q: 2. Suppose f is a positive function. If lim,»a f(x) = 0 and lim, a g(x) = 0, show that lim [f(x)]•w…

A: limx→afx=0  &amp;  limx→agx=∞

Q: Suppose f(-5) = 0 g(-5) = 0 f'(-5) = 4 g'(- 5) = 2 %3D %3D and all functions are continuous. f(x)…

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Q: If f and g are continuous functions with f(5) = 2 and, lim[2f(z) - g(x)] =5 I5 find g(5)

A: Given: - f and g are continuous functions with f(5)=2 and limx→52f(x)-g(x)=5 We have to find g(5)=?

Q: Suppose f and g are continuous functions such that g(3) = 6 and lim [3f(x) + f(x)g(x)] = 45. Find…

A: We have to find the value of f(3).

Q: 1. Sketch the graph of a function with the given properties. lim f(x) = 2, lim f(x) = -, lim f(x) =…

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Q: a. lim f(x) =1 and f(0) = -3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. Sketch a graph of a function f(x) with the following properties: f(-2) = 0, ƒ(2) = 0, lim_f(x) =…

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Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: 1-x if x 0 x+2

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Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

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Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: —ах+6 if x2-1 Let f(x)=< For what value of a does 2x2 +ах ifx<-1 lim f(x) exist? x--1

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Q: Show that the function is continuous at the given value. f(x) = 3x, c = 2 The function f(x) is…

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Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

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Q: Find lim f(x). x2 - 16 if x>0 x+4 Let f(x) = x2 - 16 if x<0 X-4 O A. 4 О В. О Ос. -4 O D. Does not…

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Q: Suppose f and g are continuous functions such that g(5) = 6 and  lim x → 5 [3f(x) + f(x)g(x)] = 18.…

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Q: f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +0, lim f'(x) = -00

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Q: Suppose f and g are continuous functions such that g(4) = 6 and lim x → 4 [3f(x) + f(x)g(x)] = 27.…

A: use limit value for finding the function f(4).

Q: Let f(x) be the function defined by x²+ 4x (xs3) 2x - 1 (x>3) the rule f(x) Find the one-sided limit…

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Q: Find the limits. f(x) = x + 3 g(x) = x2 (a) lim f(x) X→-1

A: A limit tells us the value that a function approaches as that function's inputs get closer and…