Differentiation

Answer all the questions below and press submit to see how many you got right.

id: 17587

$$\lim \limits_{x\to0} \frac{(1+x)-1}{x}=$$ $$=\lim \limits_{x\to0} \frac{x}{x}=\lim \limits_{x\to0} 1=?$$

id: 17598

$$\lim \limits_{x\to0} \frac{(12+x)-12}{x}=$$ $$=\lim \limits_{x\to0} \frac{x}{x}=\lim \limits_{x\to0} 1=?$$

id: 17611

$$\lim \limits_{x\to0} \frac{(5+x)^2-5^2}{x}=$$ $$=\lim \limits_{x\to0} \frac{5^2+2\cdot 5\cdot x +x^2-5^2}{x}=$$ $$=\lim \limits_{x\to0} \frac{2\cdot 5\cdot x +x^2}{x}=$$ $$=\lim \limits_{x\to0} 2\cdot 5 +x=?$$