###### Data-Structures

October 15, 2023###### Digital-Logic-Design

October 16, 2023# GATE 2023

Question 7 |

Consider two functions of time (t),

f(t) = 0.01 t

g(t) = 4t where 0 < t < ∞ .

Now consider the following two statements:

(i) For some t>0, g(t)>f(t).

(ii) There exists a T, such that f(t)>g(t) for all t>T.

Which one of the following options is TRUE?

f(t) = 0.01 t

^{2}g(t) = 4t where 0 < t < ∞ .

Now consider the following two statements:

(i) For some t>0, g(t)>f(t).

(ii) There exists a T, such that f(t)>g(t) for all t>T.

Which one of the following options is TRUE?

only (i) is correct | |

only (ii) is correct | |

both (i) and (ii) are correct | |

neither (i) nor (ii) is correct |

Correct Answer: C

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