lim_x 2 0.05em ( 1(x- 2)^2 _x^3^ ( 2 )^3 cos ⁡ ( 1t^3 ) dt ) is equal to

Question

Accepted Answer

Correct answer: C. (c) Using L'hospital rule = limx ^-2 0.05em 0- cos ⁡x 3x^22(x- 2) = limx ^-2 0.05em sin ⁡(x- 2)2(x- 2) 3 ^24 = 3 ^28

$lim_{x \to \frac{π}{2}} (\frac{1}{( x - \frac{π}{2} ) ^{2}} \int_{x^{3}}^{(\frac{π}{2})^{3}} cos (\frac{1}{t ^{3}}) dt) is equal to$