A small limit

Calculus Level 3

$\large \lim_{x\to1} \lfloor 1 + x \rfloor = \, ?$

Notation : $\lfloor \cdot \rfloor$ denotes the floor function .

Limit does not exist 0 1 2

2 solutions

Saurabh Patil
Feb 12, 2016

As when you solve the LHL IS NOT equal to RHL and so limit does not exist.

Hjalmar Orellana Soto
Feb 27, 2016

As $\lim_{x\to 1^{-}}f(x)=1$ and $\lim_{x\to1^{+}}f(x)=2$ , the limit above doesn't exist