Question

Show that f(x)=x^2 is continuous for all real numbers (Hint: Using limits --> Lim x-> c- f(x) = lim x--> c+ f(x) = f(c)

Answer 1

Answer: Nvm figured it out!

limx--> c+ f(x) = c^2
lim x--> c-f(x) = c^2
Therefore lim x--> c f(x) Exists and is c^2

f(c) = c^2

Therefore lim x-->c f(x) = f(c) = c^2

Answer 2

So it is continuous for all real numbers