Question

lim as x-> 0+ to (4-(1/sqr.of x))/ (4+(5/sqr.of. x)) um should the first step be to multiply by the congiant?

Answer 1

multiplying with giants may or maynot be usefu;

Answer 2

\[\lim_{x->0+} \cfrac{4-\frac{1}{\sqrt{x}}}{4+\cfrac{5}{\sqrt{x}}}\]

Answer 3

turn it into a normal looking fraction by getting like denoms and putting it into a good looking form

Answer 4

Whenever i do a table, it goes to -\[\infty\] until it hits 0 where it doesnt have a numerical value. Would it be that the limit doesnt exist as x approaches 0 from the right?

Answer 5

\[\lim_{x->0+} \cfrac{\cfrac{4\sqrt{x}-1}{\sqrt{x}}}{\cfrac{4\sqrt{x}+5}{\sqrt{x}}}\]cancel out the like terms: 1/sqrt(x)
\[\lim_{x->0+} \cfrac{4\sqrt{x}-1}{4\sqrt{x}+5}\]

Answer 6

now when x=0; we have a value that we can compare to; namely -1/5

Answer 7

http://www.wolframalpha.com/input/?i=lim+x+to+0++%28+4+-+1%2Fsqrt%28x%29+%29+%2F+%28+4+%2B++5%2Fsqrt%28x%29+%29