If I1=lim⁡x→0tan⁡−1xx−sin⁡−1xx\text{ If } I_1 = \lim_{x \to 0} \sqrt{\frac{\tan^{-1} x}{x} - \frac{\sin^{-1} x}{x}}…

Problem

 If I1=lim⁡x→0tan⁡−1xx−sin⁡−1xx\text{ If } I_1 = \lim_{x \to 0} \sqrt{\frac{\tan^{-1} x}{x} - \frac{\sin^{-1} x}{x}}  and I2=lim⁡x→0sin⁡−1xx−tan⁡−1xx,\text{ and } I_2 = \lim_{x \to 0} \sqrt{\frac{\sin^{-1} x}{x} - \frac{\tan^{-1} x}{x}}, where ∣x∣<1|x| < 1 , which of the following statement is true? a. Neither I1I_1 nor I2I_2 exist b. I1I_1 exists and I2I_2 doesn't exist c. I1I_1 doesn't exist and I2I_2 exists d. None of the above

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