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Question

Mathematics Question on limits of trigonometric functions

Let cos1ybcos^{-1}\frac{y}{b}=loge(xn)nlog_e (\frac{x}{n})^n, then Ay2+By1+Cy=0 is possible : (where y2=d2ydx2\frac{d^2y}{dx^2}, y1=dydx\frac{dy}{dx})

A

A=2, B=x2, C=n

B

A=x2, B=x, C=n2

C

A=x, B=2x, C=3n+1

D

A=x2, B=3x, C=2n

Answer

A=x2, B=x, C=n2

Explanation

Solution

The correct option is (B): A=x2, B=x, C=n2