C. Suppose lim, S(x)%= 2 and lim, g(x)=-3. Find: 43. lim(g(x)+3) 44. lim(g(x)) g(x) 45. lim 1-(x)/

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Q: b* – 1 Show numerically that for b = 2 and b = 4, lim x→0 appears to equal In 2 and In 4,…

A: Given limit:

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A:

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A:

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A:

Q: Find the limit. 2 lim 1 x-0 00 O 2 O 000

A: Let,

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Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

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Q: Find the limit by rewriting the fraction first х-у+13x- 13/у lim Vx - Vy (х,у) -> (0,0) x+y

A: First of all break the fraction then apply limits

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Q: Use l’Hospital’s rule where applicable to find the limit.

A: Given,

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Q: Verify the limits in a given equation below. (2х-4)2 lim X→3 x+1

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Q: Q3) Guess the value of the following limits: 2-3x+2 1. lim X-2 x-2 2. lim+2x=2-x-1 -0 -2x-1-2 3. lim…

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Q: (x+h)³-x³ h C. lim- h-0

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Q: Use l'Hôpital's rule to find the limits x- 2 7. lim X2x - 4 x? - 25 8. lim -s x+ 5

A: l'Hospital rule is used when the value of the function is not defined by directly substituting the…

Q: 10. /(6) = { fx3 +3 lx- 5, x 2 x-2

A:

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Q: 3. Use L'H rule to find lim (1– 2x)/=

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A: The given limit is in the indeterminate form, just using L,Hospital's rule and easily find the…

Q: Find the pointwise limit lim_(n→∞)(ex/n/n) for x ∈ R.

A: We find the pointwise limit  lim_(n→∞)(ex/n/n) for x ∈ R.

Q: 12. Given f(x)=x² – 4x – 5. Find lim fx) –{2) x-2 2

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Q: Based on the previous item, what is x + 2 lim x→1+ x – 1.

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Q: 3. Is lim f(x) always equal to f(c)?

A: Is limx→cfx always equal to fc The given statement is not necessarily true.

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

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

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Q: Using tables of values, estimate   lim 3x

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Q: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.

Q: 1. lim e7x+2 X→-∞

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

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values,…

A: Given: L1=limx→23x, L2=limx→1x2+4x-3, L3=limx→2-x3+2x2-3, L4=limx→2+x3+2x2-3 We know that for any…

Q: E valuate the following limits. If you use l'Hospital's Rule, be sure to indicate when you are using…

A: Given:

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Q: Use l’Hospital's Rule to show that lim 1+ X. = e. コ

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Q: Given n ≥ 0;  explain that   limx→∞ fn(x)/(e^x) = 0.

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Q: (c) lim r³/x² 3/22

A: We have to find the limit value by using L'Hospital rule.

Q: Let flx)= S2x-1 if x>3 what is lim f(x) ? 2x+2ifX<3, what is lim flx)? メ-3 とラメふとす

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Q: Find the limit by interpreting the expression as an appropriate derivative. e2x lim- 1 i X0

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A: Given that limx→a+f(x)=f(a)

Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

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Q: (2+h)* Use the definition of the derivative to evaluate lim h+0 h

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Q: Compute the limit below. Justify your answer. 11 11 x+9 5 lim x+4 x+ -4

A: We have to find the limit:   limx→-411x+9-115x+4             00   form