Provide an Appropriate Response $f ( x ) = 8 + \int _ { 1 } ^ { x + 1 } \tan \frac { \pi t } { 4 }$

question 69

Multiple Choice

Provide an appropriate response.
-Find the linearization of $f ( x ) = 8 + \int _ { 1 } ^ { x + 1 } \tan \frac { \pi t } { 4 }$ dt at $x = 0$ .

• A) \(\sqrt { 2 } x + 8\)
• B) \(8 x + 1\)
• C) \(x + 8\)
• D) 8

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