Give an informal or intuitive definition of the limit lim ƒ(x) = L x-> c

Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

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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: Give the two-step method for evaluating a limit of the form lim f(x)8(x).

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Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

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

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Q: What is the definition of lim f(x)?

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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…

Q: find the limit if it exists lim f(7+h)-f(7)/h for f(x)=-x+1 h -&gt; 0

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Q: Use the graph to determine the values of a which lim f(x) exists. X-> a

A: The given piecewise function is: f(x)=x3         If x≤-1xIf  -1&lt;x≤2(x-1)2If x&gt;2

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

A: Topic :- limits

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

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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.