Question

discuss the continuity of the function f defined by f(x)= Ix-1I + Ix-2I at x=1 and x=2​

Answer 1

Step-by-step explanation:

f(x)= 1

f(x) = | x-1 | + | x-2 |

f(1) = | 1-1 | + | 1 - 2 |

= |0| + | -1 |

= 0 + 1

f(1) = 1

or

f(x)= 2

f(x) = | x-1 | + | x-2 |

f(1) = | 2-1 | + | 2 - 2 |

= | 1 | + | 0 |

= 01 + 0

f(1) = 1