ID: Class: 11 Subject: Math Topic: Limits and Derivatives Type: Subjective Year: null

Question:

Let $a_{1},a_{2},...,a_{n}$ be fixed real numbers and define a function $f(x)=(x-a_{1})(x-a_{2})...(x-a_{n})$. What is $\lim_{x\rightarrow a_{1}}f(x)$? For some $a\ne a_{1},a_{2},...,a_{n}$, compute $\lim_{x\rightarrow a}f(x)$.