Get answer: Making a Function Continuous In Exercises 63 68, find the constant or the

Chapter 2, Problem 67

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Making a Function Continuous In Exercises 63-68, find the constant a, or the constants a and b, such that the function is continuous on the entire real number line.

\(f(x)=\left\{\begin{array}{ll}a e^{x-1}+3, & x<1 \\\arctan (x-1)+2, & x \geq 1\end{array}\right.\)

Text Transcription:

f(x)={ae^x-1 + 3, x<1

arctan (x-1) + 2, x geq 1

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