math geniuses come hither it will save your life

<p>not really i just need some help on my calc hmwk.</p>

<li><p>where is f(x)=tan2x not continous? is it removable or nonremovable discontiuity?</p></li>
<li><p>what are the vertical asymtotoes of f(x)=csc(pi*x)</p></li>
</ol>

<p>Do it yourself.</p>

<p>Or get one of those new calculators. $150 in your local Staples.</p>

<p>are you in calc 2?</p>

<ol>
<li><p>pi/4 +/- n<em>pi/2, nonremovable
given any function a(x) = tan(b</em>x), period = pi/b
-if f(x) = tan(2<em>x), period = pi/2
-find one value of x for which f(x) is undefined, and add or subtract any integer multiply of the period to find every other value of x
-tan(a) is undefined when a = pi/2, so tan(2a) is undefined when 2a = pi/2 aka when a = pi/4
-so f(x) is undefined whenever a = pi/4 +/- n</em>pi/2
-the discontinuous points are vertical asymptotes, which are nonremovable</p></li>
<li><p>any integer
f(x) = 1/(sin(pi<em>x)) --> sin(pi</em>x) cannot equal 0
-sin(pi*x) = 0 when x = any integer
-vertical asymptotes at x = (any integer)</p></li>
</ol>

<p>By the way, this is definitely precalculus.</p>

<p>no, calc 1 but i didn't have a good pre cal teacher and i canst remember</p>

<p>but thanx theoneo</p>