Calculate the limits of the following functions in the point $$x=1$$:
a) $$f(x)=0$$
b) $$f(x)=x^3-x^2+1$$
See development and solution
Development:
a) $$\displaystyle\lim_{x \to 1}{0}=0$$
b) $$\displaystyle\lim_{x \to 1}{x^3-x^2+1}=1-1+1=1$$
Solution:
a) The limit is $$0$$
b) The limit is $$1$$