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Question: Let a<sub>n</sub> = \(\frac { \mathrm { n } } { \mathrm { n } ^ { 2 } + 122 }\) , nĪN then value of...

Let an = nn2+122\frac { \mathrm { n } } { \mathrm { n } ^ { 2 } + 122 } , nĪN then value of n for which an is largest is –

A

10

B

11

C

12

D

) 13

Answer

11

Explanation

Solution

Let f(x) = xx2+122\frac { x } { x ^ { 2 } + 122 } at x = 122\sqrt { 122 } f ¢(x) = 0

f(11) = 11243\frac { 11 } { 243 } , f(12) = 6133\frac { 6 } { 133 }