Calculus 2 : Finding Limits and One-Sided Limits
Study concepts, example questions & explanations for Calculus 2
All Calculus 2 Resources
Example Questions
Example Question #271 : Finding Limits And One Sided Limits
Evaluate the limit:
There is no limiting situation in this equation (like a denominator) so we can just plug in the value that n approaches into the limit and solve:
Example Question #272 : Finding Limits And One Sided Limits
Evaluate the limit:
There is no limiting situation in this equation (like a denominator) so we can just plug in the value that n approaches into the limit and solve:
Example Question #273 : Finding Limits And One Sided Limits
Evaluate the limit:
The limiting situation in this equation would be the denominator. Plug the value that x is approaching into the denominator to see if the denominator will equal 0. In this question, the denominator will not equal zero when x=h; so we proceed to insert the value of x into the entire equation.
Example Question #274 : Finding Limits And One Sided Limits
Evaluate the limit:
The limiting situation in this equation would be the denominator. Plug the value that x is approaching into the denominator to see if the denominator will equal 0. In this question, the denominator will not equal zero when x=5; so we proceed to insert the value of x into the entire equation.
Example Question #274 : Finding Limits And One Sided Limits
Evaluate the limit:
There is no limiting situation in this equation (like a denominator) so we can just plug in the value that n approaches into the limit and solve:
Example Question #275 : Finding Limits And One Sided Limits
There is no limiting situation in this equation (like a denominator) so we can just plug in the value that n approaches into the limit and solve:
Example Question #276 : Finding Limits And One Sided Limits
Evaluate the limit:
There is no limiting situation in this equation (like a denominator) so we can just plug in the value that n approaches into the limit and solve:
Example Question #277 : Finding Limits And One Sided Limits
Evaluate the limit:
There is no limiting situation in this equation (like a denominator) so we can just plug in the value that n approaches into the limit and solve:
Example Question #278 : Finding Limits And One Sided Limits
Find the limit:
The limit does not exist.
For the limit of 
The first thing we can notice is that no matter what x is,
so our limit must be between 
We know both of these limits are zero, because 
so
Example Question #278 : Finding Limits And One Sided Limits
Evaluate the following limit:
The limit does not exist
To determine the limit of the piecewise function, we must determine whether the limit is the same approaching zero from the right or left of zero. From the right (values smaller than zero), we approach 1, and from the left of zero (values greater than zero), we approach 1 as well. Thus, the limit is 1.
All Calculus 2 Resources
