jee-main 2023 Q68

jee-main · India · session2_13apr_shift2 Taylor series Limit evaluation using series expansion or exponential asymptotics

If $\lim _ { x \rightarrow 0 } \frac { e ^ { ax } - \cos ( bx ) - \frac { cx e ^ { cx } } { 2 } } { 1 - \cos ( 2 x ) } = 17$, then $5 a ^ { 2 } + b ^ { 2 }$ is equal to
(1) 64
(2) 72
(3) 68
(4) 76

If $\lim _ { x \rightarrow 0 } \frac { e ^ { ax } - \cos ( bx ) - \frac { cx e ^ { cx } } { 2 } } { 1 - \cos ( 2 x ) } = 17$, then $5 a ^ { 2 } + b ^ { 2 }$ is equal to\\
(1) 64\\
(2) 72\\
(3) 68\\
(4) 76

Paper Questions

Q2 Q3 Q4 Q5 Q10 Q21 Q22 Q23 Q24 Q25 Q27 Q28 Q29 Q30 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73 Q74 Q75 Q76 Q77 Q78 Q79