Need help solving number 4 and 5 with a=1

4. (10 points) Consider the limit: lim xalex X-00 a. Describe the type of indeterminate form that is obtained by direct substitution. b. Set y = x/" . Then take the natural logarithm of both sides and use a property of logarithms to write the right side of the equation as the product of two functions. c. Take the limit of both sides to find lim (In y). d. Find lim xalex X-00 5. (10 points) Evaluate the integral: S sint x cos2 x dx