Suppose lim f(x) = 6 and lim g(x) = 3. x 4 x →4 Use limit laws to compute the following: f(x) + g(x) (g(x))² a) lim x 4 = b) lim (2f(x) - 5g(x)) = x 4 number for your answer). (be sure to enter a number for your answer), (be sure to enter a

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

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Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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

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Q: Let f(x) = 5 and g(x) = 3x + 1. Use the definition above to verify the following limits:

A: We have to verify the result: a  limx→7 fx=5b  limx→4 gx=13 Where function is given that: fx=5,…

Q: The limx→2 f(x) does not exist for the following function, f(x). O true O false

A: To determine whether the following statement is true or false.The  does not exist for the following…

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.

Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

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Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

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Q: Use the graph of f(x) below to answer the following questions: 4 3 2 y y=f(x) 1 1

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Q: 200 (-1) = 1, lim (x – 2) = + Use the results that = 1, lim (x – 2) = +∞ lim I+3 T-1 エ→8 エ→0 to find…

A: Given that limx→∞(x+3x-1)=1and limx→∞(x-2)=+∞Required to…

Q: x+1 if x<4 lim f (x) if f(x) = - |(x- 4)° +3 if x4

A: Given Function f(x) is given . This function is branch function . We are asked to Evaluate its 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: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

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Q: 31-34 Use a power series to approximate the definite integral to six decimal places. X 0.3 X • 32.…

A: Given :Use a power series to approximate the definite integralTo find : ∫00.3x1+x3dx∫01/2arctanx2dx…

Q: { x 2 1.8x – 6.6, g(x) : -0.4x – 2.2, g(2) = lim g(x) = x-2- lim g(x) = x-2+ lim g(x) = x-2

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Q: Given f(x) = 3/(4-x)3 , evaluate limx=4+ f(x)

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Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: If f(w)=√4w-3, find lim h-0 f(w+h)-f(w) h [(w)].

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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: