What value(s) of 8 are an appropriate choice when proving the following limit? lim (x² + 4x - 6) = 6 x--6 Enter your answer in terms of e. You should assume that 0 < 8 < 12. Provide your answer below: min(12,

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

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Q: Please solve by factoring

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Q: Find the limits

A: We divide the numerator and denominator by x.

Q: (а) lim х — 1

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Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: Solve the following by definition only: lim (4x - 5) = 7 as x approaches 3.

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Q: Evaluate the following limits. If needed, enter inf for and -inf for -0. lim (-33x² +21x³) = A/ 818…

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Q: Use the graph of f in the figure tofind the following values or state that they do not exist.

A: Apologies. We only answer one question at a time. We will answer the first three subparts a, b and c…

Q: 4: x>3 28. f(x)=-1; x= 3 -4; Evaluate a. lim f (x), b. lim f(x), and c. lim f (x). x<3

A: We can answer all the three subparts as below

Q: 8x² - 4x + 9. Suppose f(x) = Evaluate: lim f(x) x→-2 =

A: We have to evaluate the limit of f(x) as x tends to -2

Q: Find the one-sided limit (if it exists).

A: We first factor the denominator

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

A: Please see the below picture for detailed solution.

Q: (1+x)* - b. Evaluate lim

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Q: Consider the area A of the surface of revolution made by rotating the curvey=cot (x) from z=0 to…

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Q: Find the following limit. J4x +1 2 lim 5х + 1 V4x2 +1 lim (Simplify your answer.) %3D 5х + 1 II

A: Given:

Q: (a) lim f(x) Need

A: (a)  limx→cf(x)=0

Q: limit alge

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Q: x2 + 4x 45 - Evaluate the limit: lim x → - 9 x + 9

A: Given that, There is a limit expression, limx→-9x2+4x-45x+9 We have to find the answer of this…

Q: lim (8 – 3x+12.x2) x-2

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Q: 2x2r+1 1. Let f (x) - x+6 Where r is the last digit of your university ID. Find lim f(x)

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Q: 5. Evaluate the following limits: (a) lim Inr xxx (b) lim In r →1-1

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Q: 4х — 1 4x2 + 3x Find lim f(x) if 5.

A: 4x-1x&lt;fx&lt;4x2+3xx2  for all x&gt;5 Now, limx→∞4x-1x=limx→∞4xx-1x=limx→∞4-1x=4-0=4 &amp;…

Q: Use the definition of the limit to find values of 6 that corresponds to & = 0.50. lim (2+x²) = 11…

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Q: 4х — 1 4x2 + 3x - Find lim f(x) if 5. x2

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Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x&lt;3x+5,if x≥3

Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x&lt;0 The limit…

Q: 2x2 +2x-4 lim X→1 X-1

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