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

question 106

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 $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $f ( x ) = \sqrt { x + 5 } , L = 3 , x 0 = 4 , \text { and } \varepsilon = 1$

• A) 16
• B) 5
• C) 4
• D) 7

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