Calculus II | Section 8.1 - Q#12.1: Sequence Limits Using the Squeeze Theorem — Step-by-Step

In this Calculus II lesson, we determine whether the sequence aₙ = cos²(n)/6ⁿ converges or diverges using the Squeeze Theorem. Learn how to recognize bounded trigonometric functions, understand exponential growth, and apply essential limit rules through clear, step-by-step mathematical explanations. *Topics covered:* Definition of sequences and convergence. Understanding cosine squared and trigonometric bounds. Exponential growth and limits as n approaches infinity. Recognizing when to apply the Squeeze Theorem. Constructing and evaluating inequalities. Numerical verification and graphical illustrations. Common mathematical concepts and exam strategies. The lesson includes an introduction, a complete mathematical solution, and a separate final conclusion and recap. *Course:* Calculus II (MATH 155) *Section:* 8.1 – Sequences *Problem:* Question 12 *Video Duration:* 4 minutes, 17 seconds #CalculusII #Sequences #SqueezeTheorem #Convergence #Limits