Math Problem Solver

Applying the Continuity Test

At which points do the functions in Exercises 11 and 12 fail to be con- tinuous? At which points, if any, are the discontinuities removable? Not removable? Give reasons for your answers.

At what points are the functions in Exercises 13-30 continuous?

14. y = 1/((x + 2) ^ 2) + 4

15. y = (x + 1)/(x ^ 2 - 4x + 3)

16. y = (x + 3)/(x ^ 2 - 3x - 10)

18. y = 1/(|x| + 1) - (x ^ 2)/2

19. y = (cos x)/x

21. y = csc(2x)

22. y = tan((pi*x)/2)

24. y = (sqrt(x ^ 4 + 1))/(1 + sin^2 x)

25. y = sqrt(2x + 3)

26. y = root(3x - 1, 4)