Question

Finding analyatically limit of the function f(x)at x =a and hence verifying the continuinity function of that point

Answer 1

for example: $f(x)=x^2$

$\displaystyle{\lim_{x\to a}}f(x)=\displaystyle{\lim_{x\to a}}x^2=a^2$

Since $\displaystyle{\lim_{x\to a}}f(x)=f(a)$ , the function f(x) is continuous at x=a