Question:
The value of $\lim_{x \to0} \frac{sin^2x+cosx-1}{x^2}$ is
The value of $\lim_{x \to0} \frac{sin^2x+cosx-1}{x^2}$ is
Updated On: Jul 7, 2022
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- $\frac{1}{2}$
- $-\frac{1}{2}$
- 0
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The Correct Option is B
Solution and Explanation
Answer (b) $\frac{1}{2}$
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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:
