Limits of Trigonometric functions Questions and solutions as variable approaches infinity

The limits of trigonometric functions should be evaluated sometimes when the variable tends to infinity. A worksheet that consists of limits of trigonometric functions as the value of variable approaches infinity examples is given here for your practice with answers, and also solutions to understand how to evaluate the limits of trigonometric functions, as the variable tends to infinity questions in various possible methods by using the infinite limits rules.

Evaluate $\displaystyle \large \lim_{x\,\to\,\infty}{\normalsize x\sin{\bigg(\dfrac{1}{x}\bigg)}}$