Question

if the limit of x as it approaches c of f(x) exists, then does the limit of x as it approaches c of sqrt(f(x)) exist?

Answer 1

is the sqrt of a negative number defined?

Answer 2

no it's not

Answer 3

so no, it doesn't exist? because if c is any negative number then it doesn't exist?

Answer 4

thats what my gut tells me ....

Answer 5

http://www.wolframalpha.com/input/?i=limit+of+x+to++infinity%2C+sqrt%28-4x%2Fx%29

as a simple test .... the limit as x to inf of; -4x/x = -4, but its sqrt does not