1.)
find the limit of the function by using direct substitution.

limit as x approaches quantity pi divided by two of quantity three times e to the x times cosine of x.

2.)
find the limit of the function by using direct substitution.

limit as x approaches zero of quantity x squared minus five.

3.)
find the limit of the function by using direct substitution.

limit as x approaches three of quantity x squared plus eight x minus two.

4.)
find the limit of the function algebraically.

limit as x approaches zero of quantity negative seven plus x divided by x squared.

5.)
find the limit of the function algebraically.

limit as x approaches zero of quantity x squared plus two x divided by x to the fourth power.