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- . Evaluate: limx→0+(x^2 + e^−x)^(x−1 csc x)For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) ya 4 4 x (a) lim x-1'(x) (b) lim f(x) x 3 lim f(x) x→3+ lim f(x) C (d) 1 (e) f(3) -2 0 2Calculate the difference quotient for f(x) = 5 - x^2 at a = 4 f(x) - f(4) / x - 4 = ? lim f(x) - f(4) / x - 4 x->4 ?′(4) = ?? Find an equation of the tangent line to f(x) at a=4. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x) = y and express equation in terms of x and y)
- The limit represents a derivative f'(a). Determine f(x) and a. 8h - 1 lim h0 (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x) = a =HR MIN SEO Calculate the difference quotient for f(x) = x + x at a = 11. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(11 + h) – f(11) Calculate f'(11) by finding the following limit. f(11 + h) – f(11) lim (Give an exaet answer. Use symbolic notation and fractions where needed.) f'(11) = Find an equation of the tangent line to f at a = 11. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y3D CORFEvaluate lim(1/x)-(1/(ex-1)) as x approaches 0