Consider the piecewise defined function Find the values of $a$ and $b$ that make the following function continuous. Use the limit definition of the derivative to determine all possible values of $a$ and $b$ that make $g$ into a differentiable function at $x = 3$ . What is the value of $b$ ? (You do not need to enter the value of $a$ .) Enter your answer as a decimal. Round to three decimal places (as needed).

Question

Consider the piecewise defined function Find the values of

a

and

b

that make the following function continuous. Use the limit definition of the derivative to determine all possible values of

a

and

b

that make

g

into a differentiable function at

x = 3

. What is the value of

b

? (You do not need to enter the value of

a

.) Enter your answer as a decimal. Round to three decimal places (as needed).

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