Sequence And Series Question 171

Question: Which of the following is not true

[Kurukshetra CEE 1996]

Options:

A) $ \log (1+x)<x $ for $ x>0 $

B) $ \frac{x}{1+x}<\log (1+x) $ for $ x>0 $

C) $ e^{x}>1+x $ for $ x>0 $

D) $ {e^{-x}}<1-x $ for $ x>0 $

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Answer:

Correct Answer: D

Solution:

Putting different values of x > 0, in options, we get options (b) and (d) are not true.