Limit of a function in a point

Calculate the limits of the following functions in the point $x=1$:

a) $f(x)=0$

b) $f(x)=x^3-x^2+1$

a) $\displaystyle\lim_{x \to 1}{0}=0$

b) $\displaystyle\lim_{x \to 1}{x^3-x^2+1}=1-1+1=1$

a) The limit is $0$

b) The limit is $1$

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