multiply top and bottom by (√(6+x) + √(6-x))/(√(6+x) + √(6-x))
to get
Lim (6+x - 6+x)/[x(√(6+x) + √(6-x)] as x --> 0
= lim 2x/[x(√(6+x) + √(6-x)]
= lim 2/[√(6+x) + √(6-x)] as x --0
= 2/(2√6)
= 1/√6
If you have a calculator handy, here is a nice way to check for limits.
Pick a value of x close to the "approach" value
e.g. x = .0001
then evaluate the expression
that gave me .40825
and 1/√6 = .4082489 , not bad eh?
Evaluate the limit or state that it does not exist.
lim Root(6+x)-Root(6-x)/x
x->0
i kept getting zero which ever way i tried to solve it.. help plz.
1 answer