If lim x → 0 (e^(a x)- cos (b x)-(cx e^(-c x))/2)/(1- cos (2 x))=17, then 5 a²+b² is equal to

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q4298

JEE Main 202313 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

\lim_\limits{x \rightarrow 0} \frac{e^{a x}-\cos (b x)-\frac{cx e^{-c x}}{2}}{1-\cos (2 x)}=17

, then

5 a^{2}+b^{2}

is equal to

JEE Main 2023 · 13 Apr, Evening shift · Q4298

JEE Main 202313 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

\lim_\limits{x \rightarrow 0} \frac{e^{a x}-\cos (b x)-\frac{cx e^{-c x}}{2}}{1-\cos (2 x)}=17

, then

5 a^{2}+b^{2}

is equal to