Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D Xa Xa Xa lim p(x) = 0 lim q(x) = 0, %3D Xa Xa evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [f(x)]9(x) Xa (b) lim [F(x)]P(x) Xa (c) lim [h(x)]P(x) Xa (d) lim [p(x)](x) Xa (e) lim [p(x)]9(x) Xa (f) lim ap(x) Xa

Q: Let f(r) be the function defined by a r > 3 f(r) = 1 x < 3, 3' Find the value of a if lim f(x) = lim…

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Q: Let f(x) = x/² for x0. show that lim f(x)=lim f(x)= too X-50+

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

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Q: 3. Consider the function f(x), whose graph is shown below. Determine the limit of a function, by…

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Q: a. Estimate the value of lim f(x).

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Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

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: If f(x) = Vx² + x – x, find lim f (x), where f(x) is defined at X → 0.

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Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

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Q: 2f(x) ) lim x→2 g(x)

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Q: Suppose lim f (x) = l and lim g(x) = m, then lim (2f(x) + 3g(x)) = 2l + 3m.

A: We have to show given problem:

Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: 1. lim(2x + 4) x-3 2. lim f(x) if f(x) = {- ifx 1 %3! x² - 4x + 3 X-1

A: Here we will solve the given limits,

Q: Evaluate x +4 lim₂+−1+ f(x) if f(x) = { -x+1 x -1

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