Determine lim f(x) given the definition of f(x) below. x→-4 f(x) = 2x² + 2x - 2 X - 2 x² + x if if x-4 -4 < x < 0 if x>0

Q: lim2

A: Explained below

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A: Limit of a function means the value 'p' function approaches when 'x' approaches 'a'.

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A: Here I am attaching image so that you understand each and every step.

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

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A: Given query is to find the indicated limit.

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Q: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

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A: f(x)={−2x2−2xx&lt;−23x−2−2&lt;x&lt;1x2+3x&gt;1

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A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…