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Analytical Evaluation of Limits in Calculus

Learn how to evaluate limits analytically using direct substitution, rationalization, and properties of limits. Practice problems included.

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Analytical Evaluation of Limits in Calculus

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  1. Quiz Quiz2

  2. Section 1.3 Evaluating Limits Analytically By Marin and Emily

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  35. Section 1.3 By Marin and Emily

  36. Basic Limits x cannot = -1

  37. Basic Limits x^2+4 >=0 Defined for all reals Defined in the neighborhood of x=0

  38. Basic Limits We just found the limit analytically!!!

  39. hole

  40. Analytical Analysis

  41. Rationalize the Numerator

  42. Properties of Limits • Scalar multiple • Sum or difference • Product • Quotient • Power Direct substitution works for all polynomial and rational functions with non-zero denominators.

  43. In class/33-36 The End HW 1.3/3,7,11,17,19,25,27,29,31,37,39,43,45,47,51,53,54,57

  44. 33. Indeterminate 0/0

  45. 34. Indeterminate 0/0

  46. 35. Indeterminate 0/0

  47. 36. Indeterminate 0/0

  48. 45.

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