Question
Where on the interval [0,pi/4] is the function f(x)=(7x+3)/(cos(4x)) continuous?
Using interval notation
Using interval notation
Answers
Reiny
A good look at the graph might help
http://www.wolframalpha.com/input/?i=plot+f(x)%3D(7x%2B3)%2F(cos(4x))+from+0+to+%CF%80%2F4
Hint: remember we can't divide by zero.
Looks like we have a vertical asymptote when cos(4x) = 0
http://www.wolframalpha.com/input/?i=plot+f(x)%3D(7x%2B3)%2F(cos(4x))+from+0+to+%CF%80%2F4
Hint: remember we can't divide by zero.
Looks like we have a vertical asymptote when cos(4x) = 0