Wednesday

August 20, 2014

August 20, 2014

Posted by **John** on Wednesday, June 16, 2010 at 7:12pm.

f(x)= sin x/x^2 - 9

That is, state where is it continuous/discontinuous and why.

Here was my original answer.

sinx is cont. because it's a trig function. It's cont. at -2pi, pi, -pi, and 2pi.

x^2 is cont. because it's raised to a rational power.

-9 is cont. because it's a polynomial.

He then put x= -3 + 3? at the bottom of my work.

I'm guessing that's where it's discontinuous. So f(x) is discontinuous where x= -3 and 3

- Calculus- continuity -
**MathMate**, Wednesday, June 16, 2010 at 7:41pmf(x)= sin x/(x^2 - 9)

Your answer is correct, but unfortunately incomplete.

In the given case, the denominator (x²-9) equals zero at x=±3, precisely what your teacher referred to.

When the denominator approaches zero, the function becomes infinite, and hence discontinuous.

**Related Questions**

calculus - Determine the values of x, if any, at which each function is ...

Calculus - Determine the values of x, if any, at which each function is ...

calculus - Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. ...

Calculus - Is this the right explanation for this question 1. Examine the ...

psy - Can you please help me get some datas, to help me answer this question. ...

psychology - What is the difference between absolute continuity and differential...

Math - Determine whether f is continuous at x=c in the function. Use the 3 ...

Calculus (Continuity) - If the following function is continuous, what is the ...

Calculus (Continuity) - If the following function is continuous, what is the ...

CALCULUS DERIVATIVES CONTINUITY - Let f be the function defined by the piecewise...