First step in evaluating limits:
simplify the algebra and see what you get.
If you get:
(a number), then it is also the limit.
(∞/(a number)), the limit is &infin.
(0/(a number)), the limit is 0.
(∞/∞), or (0/0), then you need other techniques/tools.
Try the first step shown above and tell us what you get.
Lim x>0 (sqr5+x-sqr5)/x
2 answers
some parentheses would also help.
Since (√5 + x - √5)/x = 1, that's probably not what you had in mind.
(√(5+x)-√5)/x -> 0/0
so, multiply top and bottom by (√(5+x)+√5) and you end up with
((5+x)-5)/(x(√(5+x)+√5))
see where that takes you...
Since (√5 + x - √5)/x = 1, that's probably not what you had in mind.
(√(5+x)-√5)/x -> 0/0
so, multiply top and bottom by (√(5+x)+√5) and you end up with
((5+x)-5)/(x(√(5+x)+√5))
see where that takes you...