How do you evaluate the limit #-2cos(2r)# as r approaches #(2pi)/3#?
see below
cos is a continuous function so just plug in the value
By signing up, you agree to our Terms of Service and Privacy Policy
To evaluate the limit -2cos(2r) as r approaches (2pi)/3, substitute the value (2pi)/3 into the expression -2cos(2r). This gives -2cos(2(2pi)/3). Simplifying further, we have -2cos(4pi/3). Evaluating the cosine function at 4pi/3 gives -1/2. Therefore, the limit of -2cos(2r) as r approaches (2pi)/3 is -1/2.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What is the limit of #xe^(1/x) - x# as x approaches infinity?
- How do you find the limit of #cos(3x)# as #x->pi#?
- For what values of x, if any, does #f(x) = tan((-7pi)/4-2x) # have vertical asymptotes?
- How do you find the limit of #ln(t)^2/ (t)# as t approaches infinity?
- How do you find the limit of #((sqrtx+4)-3)/(x-6)# as x approaches 6?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7