\lim_{x\to3} {x^{3}-3x^{2}}/{3x^{2}-4x-15}=

AP ICET 2015 Paper

Question : 134 of 200

Marks: +1, -0

\lim↙{x→3}\;\;{x^{3}-3x^{2}}/{3x^{2}-4x-15}=

Solution:

\lim↙{x→3}{x^{3}-3x^{2}}/{3x^{2}-4x-15}

\lim↙{x→3}{x^{2}(x-3)}/{(3x+5)(x-3)}=\lim↙{x→3}\;\;{x^{2}}/{(3x+5)}

={9}/{3×3+5}={9}/{14}

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