Homework Statement
I have this problem on my calculus homework:
\lim_{x \to 0} \ln\frac{(\sin(cos(x))(x^5+5x^4+4x^3+17)} {x^6+7x^5+8x^4+9x^3+16})
Homework Equations
n/a
The Attempt at a Solution
I honestly have no idea how to go about this. We really haven't been shown...
Ah duh I got so into thinking it had to be complicated I didn't even think to just find the limit right there. Thank you so much that was so much easier than I imagined!
Ok I understand multiplying the numerator and denominator by 1/sqrt(X) to obtain:
\lim_{x \to \infty} \frac{\frac{2}{\sqrt{x}}+{\sqrt{6}}}{\frac{-2}{\sqrt{x}}+\sqrt{3}}
From this point do I multiply by the conjugate of the numerator?
\lim_{x \to \infty}...
Homework Statement
Find the following limit:
\lim_{x \to \infty} \frac{2+\sqrt{(6x)}}{-2+\sqrt{(3x)}}
Homework Equations
n/a
The Attempt at a Solution
I know this shouldn't be that hard, but somehow I keep getting stuck on simplifying the equation. I think the first step is to multiply...