Enter a problem...
Calculus Examples
Step 1
Step 1.1
Move the limit inside the trig function because cosecant 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
Step 3.1
Combine and .
Step 3.2
Move to the left of .
Step 3.3
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosecant is negative in the third quadrant.
Step 3.4
The exact value of is .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: