MCQ
$\lim _{x \rightarrow 0} \frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x}$ is equal to :
- ✓$1$
- B$-1$
- C$0$
- Ddoes not exist
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A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is.
[Hint: 5 digit numbers can be formed using digits 0, 1, 2, 4, 5 or by using digits 1, 2, 3, 4, 5 since sum of digits in these cases is divisible by 3.]
If 10n + 3 × 4n+2 + k is divisible by 9 for all n ∈ N, then the least positive integral value of k is: