Posted by John on Wednesday, June 16, 2010 at 7:12pm.
Discuss the continuity of
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 7:41pm
f(x)= sin x/(x^2  9)
Your answer is correct, but unfortunately incomplete.
In the given case, the denominator (x²9) equals zero at x=±3, precisely what your teacher referred to.
When the denominator approaches zero, the function becomes infinite, and hence discontinuous.
Answer This Question
Related Questions
 AP Calc. AB  1.Which function is NOT continuous everywhere? A.y=(4x)/(x+1)^2 B....
 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  Is this the right explanation for this question 1. Examine the ...
 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...
 calculus  Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. ...
 psy  Can you please help me get some datas, to help me answer this question. ...
 Math  Determine whether f is continuous at x=c in the function. Use the 3 ...
More Related Questions