The inequality n !>2^ n-1 is true for - Vidyadip

MCQ

The inequality $n \ !>2^{n-1}$ is true for

✓
$n > 2$
B
$n\in N$
C
$n > 3$
D
None of these

✓

Answer

Correct option: A.

$n > 2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Principle of Mathematical Induction→Principle of Mathematical Induction — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The total number of terms which are dependent on the value of $x$ in the expansion of $\Big(\text{x}^2-2+\frac{1}{\text{x}^{2}}\Big)^{\text{n}}$ is equal to:

If $\frac{{1 + \sqrt 3 \,i}}{2}$ is a root of equation ${x^4} - {x^3} + x - 1 = 0$ then its real roots are

Suppose the parabola $(y-h)^2=4(x-h)$, with vertex $A$, passes through $O=(0,0)$ and $L=(0,2)$. Let $D$ be an end point of the latusrectum. Let the $Y$-axis intersect the axis of the parabola at $P$. Then, $\angle P D A$ is equal to

On the parabola $y = x^2$, the point least distant from the straight line $y = 2x - 4$ is:

The number of arrangements of the letters of the word $PALANHAR$ in which no two vowels are together and exactly two vowels are at odd places, is

Choose the correct answer: Which of the following is not a statement.

Let $x > -1,$ then statement $p(n) : (1+x)^n > 1 + nx $, where $n \in N$ is true for

Two cards are drawn one by one at random from a pack of $52$ cards. The probability that both of them are king, is

If $\tan x = \frac{{2b}}{{a - c}}(a \ne c),$

$y = a\,{\cos ^2}x + 2b\,\sin x\cos x + c\,{\sin ^2}x$

and $z = a{\sin ^2}x - 2b\sin x\cos x + c{\cos ^2}x,$ then

Evaluate: $\displaystyle \lim_{\text{x} \rightarrow 0}{\left( \frac{\text{a}^\text{x} + \text{b}^\text{x} + \text{c}^\text{x}}{3} \right)^{\frac{2}{\text{x}}}}$