Given that lim f(x) = 1 x- 1 lim g(x) = -4 lim h(x) = 0, %3D find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim [f(x) + 3g(x)] X-1 (b) lim [g(x)] lim f(x) X-1 f(x) AF(x) (d) lim x-1 g(x) (e) lim g(x) x-1 h(x) 9(x)h(x) F(x) (f) lim

Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

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Q: If x- 2 1 lim -2 f(x) – f(2) then, the slope of the tangent line at the point (2, f(2)) is m =7. %3D…

A: By limit defination of f'(x) at point x= a

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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: Find lim(2 – x)tan(r2/2)

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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,…

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Q: A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 11 inches, a…

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Q: Show that lim(x+¹)=e².

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Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: Find the limits

A:

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

A: Topic -limits

Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

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Q: Find the limits.

A: The limit of the function is the value at which the arguement tends to a particular value. This…

Q: Find lim f(x), lim f(x), lim f(x), and f(a), if they exist. Xa

A: Consider a function f(x) which has a hole at x=c. Then the right, as well as the left limit of this…

Q: f(x) – 5 a. If lim 3, find lim f(x). X-2 X-2 x - 2 f(x) – 5 b. If lim I-2 x - 2 = 4, find lim f(x).

A: a.…

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

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Q: x² if x >0 if x <0 3. Consider the function f(x) 3D Find lim f(x) if it exists or state it does not…

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Q: Given f(x) = x-1 and g(x) on the graph below, find lim (g(x) +/x]

A: Given function is fx=x−1. And consider the graph of gx, which is given in the question. We have to…

Q: Given f(x) = x- 1 and g(x) on the graph below, find lim (g(x) + f(x)J-

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Q: f(x) 80. If lim x→-2 x? 1, find f(x) b. lim x2 (x) х

A: 80. Given:

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: If lim f(r) = lim g(x). then whether f(x) = g(x) is always true ? Justify D←エ your answer by an…

A: If limx→af(x)=limx→ag(x),then we have to determine whether f(x) always equals g(x).

Q: (3х + 3с if x >2 Let f(x) = {x2 - cx if x < 2 If lim f (x) exists, find the value of c. X-2

A: Limit of a function exist , when both sided LHL and RHL exist.

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.