Tarea

5 Funciones con limites
a) f(x)=( 3x+2)/(2x) = 2
lim
2
x | f(x) | x | f(x) |
x<2 | | x>2 | |
1.1 | 2.41 | 2.9 |1.84 |
1.3 | 2.27 | 2.7 | 1.87 |
1.5 | 2.17 | 2.5 | 1.90 |
1.7 | 2.09 | 2.3 | 1.93 |
1.9 | 2.03 | 2.1 | 1.98 |

b)f(x)=(x²+2x+5)/(3x)= 2.2
lim
3
x | f(x) | x | f(x) |
x<3 | | x>3 | |
2.1 | 2.16031746 | 3.9 | 2.39401709 |
2.3 |2.15797101 | 3.7 | 2.35045045 |
2.5 | 2.16666667 | 3.5 | 2.30952381 |
2.7 | 2.18395062 | 3.3 | 2.27171717 |
2.9 | 2.20804598 | 3.1 |2.23763441 |

c) f(x)=(x²+ 5x)/(3x-2)=3.84
lim
5

x | f(x) | x | f(x) |
x<5 | | x>5 | |
4.1 | 3.622 | 5.9 | 4.096 |4.3 | 3.669 | 5.7 | 4.039 |
4.5 | 3.717 | 5.5 | 3.983 |
4.8 | 3.794 | 5.3 | 3.927 |
4.9 | 3.820 | 5.1 | 3.873 |

d)f(x)=(x²+4x-2)/(6x+3) = .904
lim
3
x | f(x) | x | f(x) |
x<3 | | x>3 | |
2.1 | 0.693 | 3.9 | 1.091 |
2.3 | 0.743 | 3.7| 1.051 |
2.5 | 0.792 | 3.56 | 1.023 |
2.7 | 0.838 | 3.3 | 0.969 |
2.9 | 0.883 | 3.1 | 0.926 |

e) f(x)=(x²+2x+1)/(4x+3) =1.56521739
lim
5
x | f(x) | x | f(x) |
x<5 | | x>5 | |
4.1 | 1.34072165 | 5.9 | 1.78984962 |
4.3 | 1.39059406 | 5.7 |1.73992248 |
4.7 | 1.49036697 | 5.5 | 1.69 |
4.8 | 1.51531532 | 5.3 | 1.64008264 |
4.9 | 1.54026549 | 5.1 | 1.59017094 |