lim f(x) = 0 lim 2 9(x) = 0 %3D lim h(x) = 1 lim p(x) = 0 lim g(x) = o, evaluate if the following limits are not indeterminate forms. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [f(x) – p(x)] (b) lim [p(x) – q(x)] (c) lim [p(x) + q(x)]

Q: Give the equation(s) for a single function, f(x), that satisfies all of the following: lim f(x) =1…

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Q: (2) Use the definition of limit of a function to find lim x³-3x-2 x+2x2 - 3x+2

A: To find the limit of the function x3−3x−2x2−3x+2 as x approaches 2, it can apply the definition of…

Q: 1. Using the limit rules, find lim f(x) for the following functions: (a) f(x)= 3. (b) f(x)=¿e-2*.…

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Q: For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 3 f(x) = −x6 + x³ + x² +…

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Q: If a function f has no limit as x approaches c, then we say that lim f(x)

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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: 4. Is it possible that there exists some function g(x) and some constant L such that lim g(x) = lim…

A: First we need to understand definition of limit:

Q: 2)

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Q: If a function f(x) is given by x²-2x-8 T²-7x+12' 6, is f(x) continuous at x = 4? = x 4, x = 4, Yes…

A: The given function fx=x2-2x-8x2-7x+12,x≠46,x=4. We have to check whether the function is continuous…

Q: If lim f(x) = lim h(x) = 4, find lim g(x) when f(x)sg(x)Sh(x) for all values of x. X-3 X-3 x-3 lim…

A: Use sandwich theorem

Q: Find lim f(x) if f (x) = 3Vx + 2 x 2 %3D X-2 Determine the intervals where the function given in…

A: Given f(x=3x+2x<2x2+2x≥2

Q: Vx + 4 – 2 Use a table of values to estimate the value of the limit of lim f(x) f(x) ERSIT 2.

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Q: Show that if lim f(x) = lim h(x) = 3, and if f(x) ≤ g(x) ≤h(x) for 2-0 x-0 all z € (-1,1), then lim…

A: Given that limx→0fx=limx→0hx=3 and fx≤gx≤hx for all x∈−1,1. We have to prove that limx→0gx=3.…

Q: 11. Consider the function f(x) = x³-ax²-x+b X+1 lim f(x) exists, determine all value(s) of lim f(x).…

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

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Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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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.

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.