jee-main 2014 Q74

jee-main · India · 09apr Composite & Inverse Functions Evaluate Composition from Algebraic Definitions

If $f ( x )$ is continuous and $f \left( \frac { 9 } { 2 } \right) = \frac { 2 } { 9 }$, then $\lim _ { x \rightarrow 0 } f \left( \frac { 1 - \cos 3 x } { x ^ { 2 } } \right)$ equals to
(1) $\frac { 8 } { 9 }$
(2) 0
(3) $\frac { 2 } { 9 }$
(4) $\frac { 9 } { 2 }$

If $f ( x )$ is continuous and $f \left( \frac { 9 } { 2 } \right) = \frac { 2 } { 9 }$, then $\lim _ { x \rightarrow 0 } f \left( \frac { 1 - \cos 3 x } { x ^ { 2 } } \right)$ equals to\\
(1) $\frac { 8 } { 9 }$\\
(2) 0\\
(3) $\frac { 2 } { 9 }$\\
(4) $\frac { 9 } { 2 }$

Paper Questions

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