EXERCISE 4: Find the limits: exs a lim ; 1-+00 log2 (x2) b/ lim (sin z?) 2-+0+ c/ lim 12 - 7x + 12 1 -+3- (1 - 3)2 Do not use L'Hopital's Rule EXERCISE 5: Evaluate the following integrals. Write clearly your substitution, Integration by parts, and the number of the formula you are using. al = dx 2\\81 - In?(31) b/ 23 cosh(3x) dx c/ sinhre- dr; Using the definition of sinha EXERCISE 5-Following: d/ sinha cosh a dr; Using IBP el 2 logs (72)dr In 3 * /4 In 3 cos r sec(sin r) tan(sin z)3sec(sind) dar; Do not use formula 15, but the definition of a" EXERCISE 6: a/ Use the Max-Min Inequality to find the upper and lower bounds for J, Inadz and J3 5 Inadz. b/ Add these to arrive at an estimate of Jilnadz. (Give decimal numbers at the end, for the lower and higher bounds)EXERCISE 7: a/ Starting with y = e", use Logarithmic differentiation to prove the formula (e])' = ex. b/ Starting with y = tanh-'(") with u2