Exercise 1 1. Expand the logarithm Vx2 + 1 log( 100(x2 - 1)3) 2. Solve logz (x2 - 3) = 2. 3. Solve each equation for x. (a) 27-5 = 3. (b) In(a) + In(x - 1) = 1. Exercise 2 1. Find cosh(In x) and sinh (In x). 2. Find the exact numerical value of tanh(In 4). Exercise 3 Find the following limits (2 - 1 x2 - 4x + 4 4-x lim lim V3x4 + x lim rix-1' 1-2 x2+ x-6' x-42- Vx' lim Vx2 - 3x - x, lim I- too I- -00 x2 - 8 lim Vesin(#), 2 - cos(3x) - cos(4x) lim lim In(- r-+-00 ex - 72) , lim -+ +00 I-+0+ x lim sin ( Exercise 4 1. Explain why f(x) = sin (x2 - 1) is continuous on its domain. 2. Use the continuity to evaluate lim 5+ vx 1-4 V5+ x 3. Find values of the constants k and m if possible that will make the function f continuous everywhere x2 + 5, if x > 2, f (x) = m(x + 1)+k, if -1