Find the Limit $L$ For the Given Function $f$ , the Point $x _ { 0 }$

question 140

Multiple Choice

Find the limit $L$ for the given function $f$ , the point $x _ { 0 }$ , and the positive number $\varepsilon$ . Then find a number $\delta > 0$ such that, for all $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $f ( x ) = m x , m > 0 , L = 4 m , x _ { 0 } = 4$ , and $\varepsilon = 0.07$

• A) \(\delta = 4 - m\)
• B) \(\delta = 0.07\)
• C) \(\delta = \frac { 0.07 } { m }\)
• D) \(\delta = 4 + \frac { 0.07 } { m }\)

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