evaluate following limits, or show that they do not exist.
a.) lim(x-->1+) x/(x-1) x is not eqaul to 1
b.) lim(x-->1) x/(x-1) x is not equal to 1
c.) lim(x-->0+) (x+2)/x^1/2 x>0
d.) lim(x-->infinity) (x+2)/x^1/2 x>0
e.) lim(x-->0) ((x+1)^1/2/x) x>-1
f.) lim(x-->infinity) ((x+1)^1/2/x) x>0
g.) lim(x-->infinity) ((x^1/2-5)/(x^1/2+3)) x>0
h.) lim(x-->infinity) ((x^1/2-x)/(x^1/2+x)) x>0
Solution
a.lim(x-->1+) x/(x-1) = +
b doesn\'t exist
c. lim(x-->0+) (x+2)/x^1/2 =
d.lim(x-->infinity) (x+2)/x^1/2 = , x>0
e.lim(x-->0) ((x+1)^1/2/x) = doesn\'t exist
f.lim(x-->infinity) ((x+1)^1/2/x) = 0
g.lim(x-->infinity) ((x^1/2-5)/(x^1/2+3))=1
h. lim(x-->infinity) ((x^1/2-x)/(x^1/2+x))= -1.
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
evaluate following limits, or show that they do not exist. a.) lim.pdf
1. evaluate following limits, or show that they do not exist.
a.) lim(x-->1+) x/(x-1) x is not eqaul to 1
b.) lim(x-->1) x/(x-1) x is not equal to 1
c.) lim(x-->0+) (x+2)/x^1/2 x>0
d.) lim(x-->infinity) (x+2)/x^1/2 x>0
e.) lim(x-->0) ((x+1)^1/2/x) x>-1
f.) lim(x-->infinity) ((x+1)^1/2/x) x>0
g.) lim(x-->infinity) ((x^1/2-5)/(x^1/2+3)) x>0
h.) lim(x-->infinity) ((x^1/2-x)/(x^1/2+x)) x>0
Solution
a.lim(x-->1+) x/(x-1) = +
b doesn't exist
c. lim(x-->0+) (x+2)/x^1/2 =
d.lim(x-->infinity) (x+2)/x^1/2 = , x>0
e.lim(x-->0) ((x+1)^1/2/x) = doesn't exist
f.lim(x-->infinity) ((x+1)^1/2/x) = 0
g.lim(x-->infinity) ((x^1/2-5)/(x^1/2+3))=1
h. lim(x-->infinity) ((x^1/2-x)/(x^1/2+x))= -1
