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

question 19

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 $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $\mathrm { f } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 2 } , \mathrm {~L} = 243 , \mathrm { x } _ { 0 } = 9 \text {, and } \varepsilon = 0.5$

• A) \(0.00926\)
• B) \(9.00925\)
• C) \(0.00925\)
• D) \(8.99074\)

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