Question

Determine whether the function g(x)={(−2x + 10) x≤4 (x^2-3) x>4
is continuous at 4?

Answer 1

using limit in calculus
\[\lim _{x->4^{-}}-2x +10= -2(4)+10= 2\]
\[\lim _{x->4^{+}} x ^{2} -3= 16-3=11\]
Two limits are different, so this is not continuous

Answer 2

thank you!