A function f and value a are given below. Approximate the limit of the difference quotient,...

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A function f and value a are given below. Approximate the limit of the difference quotient, f(x) = sin x, a = f(a + h) - f(a) lim h0 h using h= 0.1, 0.01. Round to three decimal places as necessary. When h = 0.1, f(a+h)(a) h = f(a+h)-f(a) When h = = -0.1, = h When h = 0.01, f(a+h)-f(a) h = f(a+h)-f(a) When h = -0.01, = h A function f and value a are given below. Approximate the limit of the difference quotient, f(x) = sin x, a = f(a + h) - f(a) lim h0 h using h= 0.1, 0.01. Round to three decimal places as necessary. When h = 0.1, f(a+h)(a) h = f(a+h)-f(a) When h = = -0.1, = h When h = 0.01, f(a+h)-f(a) h = f(a+h)-f(a) When h = -0.01, = h