meeklobraca said:Homework Statement
If f(x) = sin x, evaluate
lim f(2+h) - f(2) / h
h->0
Evaluate to 2 decimal placesHomework Equations
The Attempt at a Solution
I think that since f(2) then the answer is sin 2 which is .91
What do you guys think?
Evaluating a limit to 2 decimal places means finding the numerical value of a limit with a precision of two decimal places. It is a way to approximate the value of a limit and get a more accurate result than just using the limit notation.
Evaluating a limit to 2 decimal places is important because it allows us to get a more precise understanding of the behavior of a function at a specific point. It can also help us make more accurate predictions and decisions in real-world applications, such as in physics and engineering.
To evaluate a limit to 2 decimal places, you can use a variety of methods such as direct substitution, factoring, or algebraic manipulation. You can also use numerical methods such as using a graphing calculator or using a table of values to approximate the limit.
Yes, a limit can be evaluated to more or less than 2 decimal places depending on the desired level of precision. In some cases, it may be necessary to evaluate a limit to a higher number of decimal places to get a more accurate result, while in other cases, 2 decimal places may be sufficient.
When evaluating a limit to 2 decimal places, potential sources of error include rounding errors, incorrect use of mathematical methods, and using an inappropriate level of precision. It is important to double-check calculations and consider the context of the problem to avoid these errors.