- #1
dav1d
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Homework Statement
lim x->0 (2x+1-cosx)/(4x)
Homework Equations
The Attempt at a Solution
factor out 1/4.
get stuck because of cosx..
and I'm not using l'hopital even though I know it.
dav1d said:Homework Statement
lim x->0 (2x+1-cosx)/(4x)
The Attempt at a Solution
factor out 1/4.
get stuck because of cosx..
and I'm not using l'hopital even though I know it.
I would bet that the OP hasn't learned Taylor series yet, but you don't need to use them, or L'Hopital's Rule, to evaluate this limit.gb7nash said:Have you learned Taylor series yet?
The limit of a trigonometric function is the value that a function approaches as its independent variable approaches a specific value or goes to infinity. It can be thought of as the value that a function is "heading towards" at a certain point or as the horizontal asymptote of the function.
Question 2:To find the limit of a trigonometric function, you can use several methods such as substitution, factoring, or using trigonometric identities. You can also use L'Hopital's rule for indeterminate forms.
Question 3:Some common trigonometric limits include:
Finding the limit of a trigonometric function is important in understanding the behavior of the function at a particular point. It can also help in solving real-world problems that involve trigonometric functions, such as finding maximum and minimum values.
Question 5:Yes, the limit of a trigonometric function can be undefined if the function is not continuous at the specific point or if there is a vertical asymptote. In these cases, the limit does not exist.