Limits and continuity

1. May 25, 2013

Kartik.

Lim(x-->0) x/a[b/x] can be written as x/a(b/x-{b/x})

how can we write this as
lim(x-->0)
(b/x -b/a({b/x}/{b/x}))?

2. May 25, 2013

CompuChip

Do [square] and {curly} brackets have some special meaning to you? Because
$$\lim_{x \to 0} \frac{a}{x} \frac{b}{x} \neq \frac{x}{a} \left( \frac{b}{x} - \frac{b}{x} \right)$$
doesn't really make sense to me.

3. May 27, 2013

Kartik.

Sorry, they are very common in my exercise books
square brackets mean the greatest integer value of the variable within and the curly brackets mean the fractional part of the variable within.

4. May 27, 2013

mathman

Your question is a little confusing. You have a term {b/x}/{b/x} (=1??). So it seems you are asking about (b/x - b/a)?