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Understand the squeeze theorem and be able to use it to compute certain limits. PRACTICE PROBLEMS: Evaluate the following limits. If a limit does not exist,List of solved trigonometric limits simple to tough problems with step by step solutions to learn how to evaluate trigonometric limits in calculus. Further we assume that angles are measured in radians. Solved Problems. Click or tap a problem to see the solution. Example 1. Find the limit Trigonometric Limits more examples of limits. Page 2. Substitution Theorem for. Trigonometric Functions laws for evaluating limits 10.1 Limits of the Six Trigonometric Functions. We start with the simple limit lim x!c sin(x). Here x is a radian measure because we are taking sin of it. SOLUTION. To match the given limit to the pattern of lim !0 sin. ; it is best to substitute for the argument of the sine function; thus, rewrite the limit By applying the limit value directly in the given question, we get 0/0. That is indeterminate form. Hence the value of lim x-> 0 (√2 - √(1 + cos x)) / sin2 Page 1. Homework. Trigonometric Limits. Page 2. Answers: Important Note: When calculating the limits involving trigonometric functions, always look for an expression like Solution: This limit is of the form 0.