Calculus Examples

Evaluate the Limit ( limit as x approaches 0 of sin(2x))/(sin(3x))
Step 1
Evaluate the limit.
Tap for more steps...
Step 1.1
Move the limit inside the trig function because sine is continuous.
Step 1.2
Move the term outside of the limit because it is constant with respect to .
Step 2
Evaluate the limit of by plugging in for .
Step 3
Simplify the answer.
Tap for more steps...
Step 3.1
Rewrite as a product.
Step 3.2
Write as a fraction with denominator .
Step 3.3
Simplify.
Tap for more steps...
Step 3.3.1
Divide by .
Step 3.3.2
Convert from to .
Step 3.4
Multiply by .
Step 3.5
The exact value of is .
Step 3.6
Multiply by .