The graph below is the function f(x) 5+ 4 3 2 01 -5 -4 -3 -2 -1 -1 -2 3 -4 -5+ 1 2 4 5 Determine which one of the following rules for continuity is first violated at a = −1. f(a) is defined. lim f(x) exists. x→a ○ lim_f(x) = f(a). x→a

Q: Consider the function if g(x) = if 2. if x>0. And study its continuity at x=0

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A: We have to check

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A: Find the limit of the given questions.

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Q: which of the following statements is true about the function             3x-2, if x<2 r(x)=…

A: We have given,            3x-2, if x<2r(x)=     -8      if x=-2             5x+4 if x>2

Q: : State the three-part Definition of Continuity.

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Q: The graph below is the function f(x) 5+ 4 -4 -3 -2 -1 I 2 3 4 5 -2 3- Determine which one of the…

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Q: The graph below is the function f(x) -5 -4 -3/-2 -1 -1 -2 3 -4 -5 5+ 4 3 02 1 lim Determine which…

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Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4: