calc ? for a math whiz

<p>Let f b the function given by f(X)+ 2xe^2x</p>

<p>Find the limit of f(x) as x approaches infinity and the limit as x approaches negative infinity.</p>

<p>I don't remember how to find limits. </p>

<p>Also, what is the range of f?</p>

<p>Also if anyone knows how to find the antiderivative of cos(3x)sin(8x) that would be great.</p>

<p>just plug in infinity for the function.
2(infinity) * e^(2*infinity)
really big # * really big # = super big # --> infinity</p>

<p>2(-infinity) * e^(2*-infinity)
As you know anything raised to a negative # brings it closer to zero Sooo
e^(really big negative) will approach Zero.</p>

<p>And as for the integration, dunno do some u-substitution. Maybe u = sin(x) then du = cos, i dunno. or maybe u = the other thing,</p>

<p>thanks, mamba that's what I noped it was. :)</p>