Question

Lim(sinx)^2tanx as x approaches zero​

Answer 1

`\lim_(x \to 0) sin^2(x)tan(x) = 0`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Pre-Calculus

• Trigonometry
• Unit Circle

Calculus

• Limits

Explanation:

Step 1: Define

`\lim_(x \to 0) (sinx)^2tanx`

Step 2: Solve

1. Rewrite [Sine Trig]:
   `\lim_(x \to 0) sin^2(x)tan(x)`
2. Evaluate limit [Substitute in x:
   `\lim_(x \to 0) sin^2(x)tan(x) = sin^2(0)tan(0)`
3. Evaluate trig:
   `\lim_(x \to 0) sin^2(x)tan(x) = 0 \cdot 0`
4. Multiply:
   `\lim_(x \to 0) sin^2(x)tan(x) = 0`

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits

Book: College Calculus 10e