3. Evaluate lim f(x), given that: x-3 A the function f is continuous over (-∞0,00). • lim f(√x) = 4 x 9 Hint: If g(x)=√x, then lim f(√x) = lim f(g(x)) T-9 1 =

Q: 3.. One arch of a cycloid is given by the parametric equations x(†) = 2t − 2 sint, y(t) = 2-2cost;…

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A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

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A:

Q: 6. Consider the function f Cx)=5(o+5)-25 if X#し if xfO D.IS fCx) continuous at X-0? EXPlain

A:

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A:

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A:

Q: -5x + 7 if x 3. Find lim f(x). 3+

A: In general the right limit of the function  at a point gives the value of the the function as the…

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A: Find the limits with the psoitive and negative values.

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A:

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A: Answer is true.  Using L hopital rule.

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A: The objective is to find the limit.

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.

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A: Given, The function f(x)=2x2+1.

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A: 3x-2≤f(x)≤x2-3x+7

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A:

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A:

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…

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

A:

Q: -3x I. Given the function, f(x)=- x-2 Evaluate: ( lim f(x) lim f(x) a) x-2 lim f(x) , and 2 b) State…

A:

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A:

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A: Topic :- limits

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A:

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A: