consider the function f(x) = x. a) Find the lim f(x+h)-f(x) h0 algebraically; be sure the...

  

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consider the function f(x) = x. a) Find the lim f(x+h)-f(x) h0 algebraically; be sure the answer is the same as your results from the numerical method. Describe in words the algebraic technique that is needed to resolve division by zero. 5. Reflection Questions and Vocabulary: a) Using your work above, describe why the derivative was developed? b) What role does the limit play in being able to find the derivative of a function? Why is the limit necessary? c) What does the derivative allow us to do that we cannot accomplish without it. consider the function f(x) = x. a) Find the lim f(x+h)-f(x) h0 algebraically; be sure the answer is the same as your results from the numerical method. Describe in words the algebraic technique that is needed to resolve division by zero. 5. Reflection Questions and Vocabulary: a) Using your work above, describe why the derivative was developed? b) What role does the limit play in being able to find the derivative of a function? Why is the limit necessary? c) What does the derivative allow us to do that we cannot accomplish without it.