?
If 0 < x < 1, which of the following is greatest ?
Answer & Solution
Correct Answer:
Option
D
0 < x < 1
⇒ x2 < x < 1 ..... (i)
⇒ $$\frac{1}{{{x^2}}}$$ > $$\frac{1}{x}$$ > 1 > x > x2 [using ...(i)]
Hence, $$\frac{1}{{{x^2}}}$$ is the greatest.
⇒ x2 < x < 1 ..... (i)
⇒ $$\frac{1}{{{x^2}}}$$ > $$\frac{1}{x}$$ > 1 > x > x2 [using ...(i)]
Hence, $$\frac{1}{{{x^2}}}$$ is the greatest.
Join the Discussion
Login to post a comment or share your explanation.
Login