Answer
10
Work Step by Step
$\lim _{y\rightarrow \dfrac {1}{4}}\left( 16y+1\right) \left( 2y^{\dfrac {1}{2}}+1\right) =\left( 16\times \dfrac {1}{4}+1\right) \left( 2\times \left( \dfrac {1}{4}\right) ^{\dfrac {1}{2}}+1\right) =5\times 2=10$
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