# Difference between revisions of "Exercise 42"

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Line 7: | Line 7: | ||

|- | |- | ||

|Question 1(ii) | |Question 1(ii) | ||

− | | | + | |<math>e^{x}\cos{x}</math> to <math>x^{5}</math> |

|- | |- | ||

|Question 1(iii) | |Question 1(iii) | ||

− | | | + | |<math>\tan{x}</math> to <math>x^{5}</math> |

|- | |- | ||

|Question 1(iv) | |Question 1(iv) | ||

− | | | + | |<math>e^{\sin{x}}</math> to <math>x^{4}</math> |

|- | |- | ||

|Question 1(v) | |Question 1(v) | ||

− | | | + | |<math>\sin^{-1}{x}</math> to <math>x^{5}</math> |

|} | |} |

## Revision as of 14:03, 1 August 2020

Expand the following functions as far as the term indicated:

Question 1(i) | [math]\ln{(\cos{x})}[/math] to [math]x^{6}[/math] |

Question 1(ii) | [math]e^{x}\cos{x}[/math] to [math]x^{5}[/math] |

Question 1(iii) | [math]\tan{x}[/math] to [math]x^{5}[/math] |

Question 1(iv) | [math]e^{\sin{x}}[/math] to [math]x^{4}[/math] |

Question 1(v) | [math]\sin^{-1}{x}[/math] to [math]x^{5}[/math] |