Question

Evaluate Limit x -[x] / x - 2 when x tends to 2 positive .
Please give complete solution .​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\displaystyle\lim_{x\to2^{+}}\dfrac{x-\left[x\right]}{x-2}$

$\displaystyle=\lim_{h\to0}\dfrac{(2+h)-\left[2+h\right]}{2+h-2}$

$\displaystyle=\lim_{h\to0}\dfrac{2+h-2}{2+h-2}$

$\displaystyle=\lim_{h\to0}(1)$

$\displaystyle=1$