The limiting situation in this equation would be the denominator. Plug the value that n is approaching into the denominator to see if the denominator will equal 0. In this question, the denominator will equal zero when n=2; so we try to eliminate the denominator by factoring. When the denominator is no longer zero, we may continue to insert the value of n into the remaining equation.

The limiting situation in this equation would be the denominator. Plug the value that n is approaching into the denominator to see if the denominator will equal 0. In this question, the denominator will equal zero when n=-3; so we try to eliminate the denominator by factoring. When the denominator is no longer zero, we may continue to insert the value of n into the remaining equation.

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:

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:

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:

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:

The limiting situation in this equation would be the denominator. Plug the value that n is approaching into the denominator to see if the denominator will equal 0. In this question, the denominator will equal zero when n=1; so we try to eliminate the denominator by factoring. When the denominator is no longer zero, we may continue to insert the value of n into the remaining equation.

This particular question is asking us to find a one sided limit of the functions depicted by the graph. Since there is a plus sign in the exponent on the zero, this tells us that we are looking for a right handed limit. In other words, we will loook at the function values for x values that are slightly larger, or to the right of zero.

Examining the graph, we can observe that  as  approaches  from the right.

This particular question is asking us to find a one sided limit of the functions depicted by the graph. Since there is a negative sign in the exponent of the zero, this tells us that we are looking for a left handed limit. In other words, we will loook at the function values for x values that are slightly smaller, or to the left of zero.

Examining the graph, we can observe that  as  approaches  from the left.

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: