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Find the Limit LL For the Given Function ff , the Point x0x _ { 0 }

question 106

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Find the limit LL for the given function ff , the point x0x _ { 0 } , and the positive number ε\varepsilon . Then find a number δ>0\delta > 0 such that, for all xt0<xx0<δf(x) L<εx _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon .
- f(x) =x+5,L=3,x0=4, and ε=1f ( x ) = \sqrt { x + 5 } , L = 3 , x 0 = 4 , \text { and } \varepsilon = 1


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