Category: Updates

Derivative of $1/(1-x)^2$

$ \frac{\partial f}{\partial x}\dfrac{1}{(1-x)^2} = \dfrac{0 *(1-x)^2 - (-1)(1)}{(1-x)^2*(1-x)} $ But: $ \frac{\partial f}{\partial x}\dfrac{1}{(1-x)^2} \...

Limit as N goes to Infinity

Consider this limit: $$\lim_{n\rightarrow\infty} \left( 1+\frac{1}{n} \right) ^{n^2} = x$$ I thought the way to solve this for $x$ was to reduce it using ...