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List of top Mathematics Questions on Limits asked in MHT CET

Evaluate the limit $ \lim_{n \to \infty} \frac{6^n - 9x - 7^n + 1}{\sqrt{2} - \sqrt{11} + \cos n} $
The limit of \( \lim_{x \to 0} \frac{\sin x}{x} \) is:

The area of the region \( \{(x, y): 0 \leq y \leq x^2 + 1, \, 0 \leq y \leq x + 1, \, 0 \leq x \leq 2\ \) is:}

Evaluate \( \int_{0}^{\pi/4} \frac{\cos^2 x}{\cos^2 x + 4 \sin^2 x} \, dx \):
Marks of 5 students of a group are \( 8, 12, 13, 15, 22 \). Find the variance.