Limit Comparison Test

Equation
$$\lim_{n\rightarrow oo} \frac{a_{n}}{b_{n}} = c$$

Use
Find a function with a known convergence which you believe will converge in the same way as the target function.Set up the limit as shown in the above equation.If $$c > 0$$ then both series have the same convergence.

Explanation
If the c value resulting from the equation above is greater than 0 there must be two numbers $$d$$ and $$e$$ where         $$d < c < e$$. There also must be a value of $$n$$ where the limit shown above is equal to the value of $$c$$. Since these things are true we can say that $$d_{} < \frac{a_n}{b_n} All Video Explanations by PatrickJMT