The given function is f(x) = (x – a_{1}) (x – a_{2})…..(x – a_{n})

\( \lim\limits_{x \to a_1}[(x-a_1)(x-a_2)....(x-a_n)]\)

(a_{1} – a_{1}) (a_{1} – a_{2})…..(a_{1 }– a_{n}) = 0

\( \lim\limits_{x \to a_1}f(x)=0\)

\( \lim\limits_{x \to a}f(x)= \lim\limits_{x \to a} [(x-a_1)(x-a_2)....(x-a_n)]\)

(a_{1} – a_{1}) (a – a_{2})…..(a_{ }– a_{n}) = 0

\( \lim\limits_{x \to a}f(x)=(a – a_1) (a – a_2)…..(a – a_n) = 0\)

Answered by Abhisek | 1 year ago