Use L'Hospital's rule to determine the following limit. Use exact values. e1a – 1 4x lim x →0 sin(3x)

Q: Q2:- Evaluate the magnitude tan (2x) 1. lim

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Q: Use the graph to solve for z.* := lim f(r) 3 3 f(x) 2. 2.

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Q: b. Find lim (xv (xVx²+1-x²)

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Q: Find the limit L. L = √x-7-1 lim X→8 X-8

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: Find the value of the limit: 3 tan(4x)– 12x lim

A: From the given problem:   limx→03tan4x-12xx3   This problem can be solved by the series expansion of…

Q: Find the limits sin (x? – 4) lim x - 2

A: Given the limit: limx→2 sinx2-4x-2

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: Find Lim as attached . f(x) = 3x − 2

A: Consider the provided function, fx=3x-2 Find the limit of the provided function, limx→0fx+x-fxx…

Q: If q(x) = 3x², 7ex find lim q(x). X→ +∞

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Q: Find Lim f(x) = 2√x

A: Given function: fx=2x

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives. x-2 (a) Show: if x - 2| <…

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Q: Find Lim as attached. f(x) = x2 − 4x

A: Given: fx=x2-4x   limx→0fx+x-fxx=?

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

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Q: Find the value of : sin3x lim x→0 2x

A: This question is based on Limits.

Q: Find Lim as attached. f(x) = 3x2 + 1

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Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: Find Lim as attached. f(x) = −6x + 3

A: Find Lim as attached. f(x) = −6x + 3   limx→0f(x+x)-f(x)x

Q: d. lim f(x) %D X-3-

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Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

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