Problem 1. Evaluate the following limits (a): (b): 5-1 lim 1-0 3-1 lim V-1 (c): sin(x)+x...

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Problem 1. Evaluate the following limits (a): (b): 5-1 lim 1-0 3-1 lim V-1 (c): sin(x)+x lim Problem 2. (a): Compute f'(x) for all > 0, where f(x) = x. (Hint: Apply In to both sides of f(x), and use implicit differentiation.) (b): Let g(x) be any function differentiable for all >0. Compute f'(x) for all x > 0, where f(x)=2(x) in terms of g(x) and g'(x). Problem 1. Evaluate the following limits (a): (b): 5-1 lim 1-0 3-1 lim V-1 (c): sin(x)+x lim Problem 2. (a): Compute f'(x) for all > 0, where f(x) = x. (Hint: Apply In to both sides of f(x), and use implicit differentiation.) (b): Let g(x) be any function differentiable for all >0. Compute f'(x) for all x > 0, where f(x)=2(x) in terms of g(x) and g'(x).