Find the break even points of the expression $\frac{x\left(x+y\right)+y^2}{x}$

Find the limit

$\lim_{x\to0}x^x$

Find the limit

$\lim_{x\to0}\left(1-4x\right)^{\frac{1}{x}}$

Find the limit

$\lim_{x\to0}\left(x\right)^x$

Find the limit

$\lim_{x\to0}\left(\frac{1+x}{1-x}\right)^{\frac{1}{x^2}}$

Find the limit

$\lim_{x\to0}\left(1+2x\right)^{\frac{1}{x}}$

Find the limit

$\lim_{x\to0}\left(1-6x\right)^{\frac{1}{x}}$

Find the limit

$\lim_{x\to0}\left(1+3x\right)^{\frac{1}{x}}$