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1Consider the functionf(x) =x2 x 3(a) Does limx3f(x) exist?(b) Is f(x) continuous at x = 3?(c) Is f(x) diff'able at x = 3?

1Consider the functionf(x) =x2 x 3(a) Does limx→3f(x) exist?(b) Is f(x) continuous at x = 3?(c) Is f(x) diff’able at x = 3?(d) Find the equations of the tangent lines to the graph of y = f(x) at x = 1 and x = 4.(e) Do those two tangent lines meet? If so where?

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