The discussion revolves around evaluating the limit of the expression -2/sqrt(4-x) as x approaches 4 from the left. Participants are exploring whether the limit exists as a finite number, infinity, negative infinity, or does not exist.
Some participants have provided insights into the behavior of the denominator as x approaches 4, suggesting that it becomes very small. There is a mention of a specific limit evaluation leading to a conclusion of negative infinity, but the discussion does not reach a consensus on the interpretation of the limit.
Participants are working under the constraints of homework rules, which may limit the depth of their explorations and the types of solutions they can propose.
This is actually pretty straightforward. The numerator doesn't change. What happens to the denominator as x gets closer to 4 from the left?Niaboc67 said:Homework Statement
Determine if the limit exists as a number, ∞, -∞ or DNE
lim x->4- -(2)/(sqrt(4-x))
The Attempt at a Solution
lim x->4-...
I honestly don't know how to solve. Because I don't know what to do with the sqrt function. If someone could lead me in the right direction here that would be great.
Thank you
Can you be more specific? x is approaching 4 from the left.Niaboc67 said:Looks like it's getting smaller and smaller from this graph I am looking at for 1/sqrt(x)?
Niaboc67 said:I solved it. It was lim as x approaches 4 from the negative side. so I put it must be something like -2/sqrt(4-3.9999) so inf digits and therefore, -inf