1. L7I can determine input tolerance (delta) given a function and output tolerance (epsilon). Consider the piccewiso-defined function, k(x) below. (0.5x + 0.5 r <1 k(x) = -2 -2 (a) What is the limit as x approaches 1? L= (b) Algebraically find the largest interval of r-values around x = 1 that will ensure the function values lie within 0.25 of the limit. Use 3 decimal places. 2.

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