Evaluate each limit using algebraic methods, if the limit exists. lim x-0 x +55 - x...

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Evaluate each limit using algebraic methods, if the limit exists. lim x-0 √x +5√5 - x X 1 Tim - - ( 2 + x - 2) Determine the equation of the tangent to each function at the given point. b. y = (3x22x³)5, (1, 1) a. y = (x² + 5x + 2)4, (0, 16) Given f(x) (2x - 3)² + 5 2x - 3 a. Express f as the composition of two simpler functions. b. Use this composition to determine f'(x). = Evaluate each limit using algebraic methods, if the limit exists. lim x-0 √x +5√5 - x X 1 Tim - - ( 2 + x - 2) Determine the equation of the tangent to each function at the given point. b. y = (3x22x³)5, (1, 1) a. y = (x² + 5x + 2)4, (0, 16) Given f(x) (2x - 3)² + 5 2x - 3 a. Express f as the composition of two simpler functions. b. Use this composition to determine f'(x). =