Find the values of a and b that make f continuous everywhere. f(x) =    (x2 − 4)/x-2        if x < 2  ax2 − bx + 1      if 2 ≤ x < 3  4x − a + b      if x ≥ 3 a=? b=?

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Q: f continuous everywhere. f(x) =   x2-4/x-2      if x < 2

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 if x < 2 f(x) = x-2 ax² if 2 ≤…

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Q: Find the values of a and b that make f continuous everywhere. x² – - 4 if x < 2 X - 2 f(x) ax2 - bx…

A: Please refer the attached image for complete solution.

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Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -…

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Q: *show work*

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A: Topic = Functions

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.