Question:
Let \(cos^{-1}\frac{y}{b}\)=\(log_e (\frac{x}{n})^n\), then Ay2+By1+Cy=0 is possible : (where y2=\(\frac{d^2y}{dx^2}\), y1=\(\frac{dy}{dx}\))
Let \(cos^{-1}\frac{y}{b}\)=\(log_e (\frac{x}{n})^n\), then Ay2+By1+Cy=0 is possible : (where y2=\(\frac{d^2y}{dx^2}\), y1=\(\frac{dy}{dx}\))
Updated On: Oct 21, 2024
- A=2, B=x2, C=n
- A=x2, B=x, C=n2
- A=x, B=2x, C=3n+1
- A=x2, B=3x, C=2n
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The Correct Option is B
Solution and Explanation
The correct option is (B): A=x2, B=x, C=n2
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Concepts Used:
Limits of Trigonometric Functions
Assume a is any number in the general domain of the corresponding trigonometric function, then we can explain the following limits.
We know that the graphs of the functions y = sin x and y = cos x detain distinct values between -1 and 1 as represented in the above figure. Thus, the function is swinging between the values, so it will be impossible for us to obtain the limit of y = sin x and y = cos x as x tends to ±∞. Hence, the limits of all six trigonometric functions when x tends to ±∞ are tabulated below:
