Can you limit the floor?
Calculus
Level
2
Let \(\displaystyle \large f(x) =\large \frac{x^2-9x+20}{x-\lfloor x \rfloor}\) then which of the following are correct:
\(\displaystyle A. \lim_{x \to 5^+}f(x)=1\)
\(\displaystyle B. \lim_{x \to 5^-}f(x)=0\)
\(\displaystyle C. \lim_{x \to 5^+}f(x)=4\)
\(\displaystyle D. \lim_{x \to 5^-}f(x)=1\)
\(\displaystyle E. \lim_{x \to 5^+}f(x)=0\)
\(\displaystyle F. \lim_{x \to 5}f(x) \text{does not exist}\)
\(\displaystyle G. \lim_{x \to 5}f(x) \text{exists}\)
Details:
- (\(\lfloor \cdot \rfloor\)) denotes floor function
by
Sparsh Sarode