Calculus Examples

Evaluate the Limit limit as x approaches pi/2 of xsec(x)^2
Step 1
Split the limit using the Product of Limits Rule on the limit as approaches .
Step 2
Evaluate the limit of by plugging in for .
Step 3
Consider the left sided limit.
Step 4
As the values approach from the left, the function values increase without bound.
Step 5
Consider the right sided limit.
Step 6
As the values approach from the right, the function values increase without bound.
Step 7
A non-zero constant times infinity is infinity.