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
A limit problem is a mathematical concept that involves finding the value that a function approaches as its input approaches a certain value. It is used to understand the behavior of a function near a specific point.
To solve a limit problem, you can use various methods such as algebraic manipulation, substitution, and L'Hopital's rule. The specific method used depends on the type of limit and the function involved.
The limit of the function SQRT(-2)/(4-x) as x approaches 4 is undefined. This is because the denominator of the function becomes 0 as x approaches 4, which is an undefined operation.
No, L'Hopital's rule cannot be used to solve this limit problem as it only applies to indeterminate forms such as 0/0 or infinity/infinity. In this case, the limit is undefined, not indeterminate.
Solving limit problems is essential in understanding the behavior of functions and making predictions about their values. It is also a fundamental concept in calculus and is used in various real-world applications, such as in physics and engineering.