Limiting Trigo 2

Calculus Level 5

Evaluate \[\begin{matrix} lim \\ x\rightarrow { 0 }^{ + } \end{matrix}\frac { -1+\sqrt { (tan\quad x-sin\quad x)+\sqrt { (tan\quad x-sin\quad x)+\sqrt { (tan\quad x-sin\quad x)+...\infty } } } }{ -1+\sqrt { { x }^{ 3 }+\sqrt { { x }^{ 3 }+\sqrt { { x }^{ 3 }+...\infty } } } } \]


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