4 if x < 2 2 Let f(x) = Vx +c if x > 2 Find the value of c such that lim f(x) exists. x→2

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Q: 9. Evaluate the limit. lim (1+ sin 3x)1/x x→0+

A:

Q: 9. Given that limx→3 f(x) = 2 and limx→3 g(x) = −5 compute the following limits: (a) limx→3 2f(x)…

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A: To determine: The limit

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Q: 5) Find the indicated limit if it exists. Vx+4 – 2 a) lim x→0 8x' + 27 b) lim x→-1.5 2x+ 3

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Q: 8. e 1 Build a table to estimate lim x+0 X

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Q: evauluate the limit lim x→0 (sin2 (3x))/ x2

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Q: > If f is a continuous, decreasing function over [1,0) and the lim f (x)=0, X00 then :)dx is…

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Q: Q1: Find the Limits of: Тan x 1- lim X+Sin x+VX 2- lim xo X+Sin x 3- lim vx2 + 1- Vx2-x

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Q: 1-cos 2x lim X→0 x2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: x- 2 x <4 Estimate lim Ax) where fx) = %3D x+2 x24 12 10 -8- 8. 6 2 Limit does not exist.

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Q: Find the limit of the transcendental function. lim e-2x sin Ax X→0

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2) If x3 s f(x) sx for x in [-1,1), find lim f(x) if it exists. x-0 A) 0 B) Does not exist C) -1 D)…

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Q: 6. Calculate limit: lim tg x X→0 2-V4+3x

A: Here we have to calculate Limit =limx→0 tgx2-4+3x

Q: (4) Find the indicated limits, if they exist: Зх—12 (a) lim→4Jx-2 x²+3x-4 (b) lim→-4 +4x x²+4x 3 cos…

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Q: b) Use L'Hôpital's Rule to evaluate the limit L. e2x lim X→∞ x2

A: We can solve part in the following steps.

Q: V-1- x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: If lim | f(x)dx does not exist, b00 a then | f(x)dx diverges. a Select one: False True

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Q: 5. Show that x³y³ lim (x,y) →(0,0) 2x¹2 + 3y4 does not exist.

A:

Q: Find the maximum value of & > 0 that satisfies the limit claim corresponding to e = 0.3, that is,…

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Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

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Q: 2) Suppose that the limit of a function f(x) exists at z = a. If lim f(x) = M and lim f(x) = N, what…

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Q: If [ f(x)\dx<∞ show that limf(x)dx=0 k→∞00 1

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Q: 3. Consider the function f defined below. Inx for 0<xs2 If f(x)={ then lim f(x) is **]x²In 2 for 2…

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Q: 1 Find the limit of lim x (1– e * ). X→ 00

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Q: 2. Use Squeeze Theorem to find lim, x f(z), if for all z > 4 Ge² – 15 < {r) f(x) < VE-2 2e

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Q: b) Use L'Hôpital's Rule to evaluate the limit L. e2x lim X→ ∞ x²

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Q: -7x2 – 6x + 1 x<0 x 20 f(x) = 3 sin x Enter DNE if the limit does not exist. lim f(x) = 1 lim f(x) =…

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Q: Find lim 4(x) (x) / X-0 x 2. Prove that B(m, n)

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Q: 2. Calculate the following limits. sin 3x a) lim х-0 2х(х-3) V4+h-2 b) lim h→0 h 5х-4 c) lim X→∞…

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Q: Consider g(x)=−7x3+7x2+9. a) limx→0−g(x)= b)limx→−1−g(x)= c)On what interval(s) is g(x)…

A: It can be solved using the limiting definition of continuity

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Q: 1. Show that for all f e L'(R) lim da = 0.

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Q: Discuss the continuity of : Q1 x+ for *く0 for osr 2 Q2 1-x lim

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Q: S, f(x) dr may not equal lim , f(x) dx. Show that 2x dx x* + 1 diverges and hence that 2x dx ? + 1…

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Q: Compute the lim as x goes to 0+ (e^x - 1 - x)/ (xe^x - x)

A: we have to compute the limx→0+ex-1-xxex-x