#lim_(h->0) [sin(2π+h) - sin(2π)]/h =# ?
By signing up, you agree to our Terms of Service and Privacy Policy
#lim_(h->0) ((sin(2pi+h)-sin(2pi))')/[(h)']= lim_(h->0) cos(2pi+h)=cos2pi=1#
By signing up, you agree to our Terms of Service and Privacy Policy
This question is very similar to the the limit definition of the derivative:
By signing up, you agree to our Terms of Service and Privacy Policy
The limit of the given expression as h approaches 0 is equal to 2π.
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.
- How do you find where #f(x)=1/ln(x)# is continuous and differentiable on which interval(s)?
- How do you find the limit of #(1)/(x-2) # as x approaches #2^+#?
- What are the removable discontinuities of #f(x) = (x^3 - 3x^2 - x + 3) / (x+1)#?
- How do you find the limit of #(x-4)/(sqrt(x-3)-sqrt(5-x))# as x approaches 4?
- How do you evaluate the limit #cos(pi/2-x)/x# as x approaches #0#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7