Do you mean an indeterminate answer or an infinite one?thomasrules said:Homework Statement
I can't seem to work around it, I keep getting an indeterminate answer.
Getting an indeterminate answer for a limit means that the limit of a function cannot be determined using traditional methods. This can happen when the function approaches a certain value but never actually reaches it, or when the function approaches different values from different directions.
To solve for an indeterminate limit, you can use L'Hôpital's rule, which involves taking the derivative of both the numerator and denominator of the function to simplify the expression and then evaluating the limit again. Alternatively, you can use other techniques such as factoring or trigonometric identities to simplify the function and then evaluate the limit.
Functions that commonly result in indeterminate limits include rational functions with a numerator and denominator that both approach zero, trigonometric functions with asymptotes, and exponential functions with different rates of growth in the numerator and denominator.
No, an indeterminate limit cannot be solved algebraically because the function cannot be simplified to a single value. Instead, it requires techniques such as L'Hôpital's rule or other mathematical methods to solve.
Understanding indeterminate limits is important because they often arise in real-world applications, and being able to solve them accurately can help in making informed decisions. Additionally, understanding how to solve for indeterminate limits can also aid in understanding more complex mathematical concepts and techniques.