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Calculating limits exactly Use the definition of the derivative to evaluate the following limits.
104.
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Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
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- Use the limit definition to find the derivative of the function. f(x) = 2x + 4 f(r + h)- f(x) First, find h Preview Next, simplify the numerator. Preview Divide out the h. Preview So now, find the limit f(x + h) - f(æ) lim h 0 %3D Previewarrow_forwardThe limit below represents the derivative of some function f(x) at some number a. 3(3+ h)- 243 lim State the function and the number: f(x) = Question Help: D Video Submit Questionarrow_forwardInvestigate lim x 2 . x ➔4arrow_forward
- Consider the function f (x) = |3x – 6|. -arrow_forward(7 + h) The limit lim h→0 is the derivative of some function f(x) evaluated at x = a. Find the function f(x) and the value of a. h а. f(x) - help (formulas) b. a = help (numbers)arrow_forwardAssessment 1. Directions: Find the limit of the following. 1. lim(x² + 2x – 1) X-2 2. lim (x³ + 8) x--2arrow_forward
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