lim x ? 3 x [ x 4 ] = p q (where [ . ] denotes greatest integer function), then p + q (where p , q are relative prime) is:

Question

$\lim_{x \to \infty} \frac{3}{x} [\frac{x}{4}] = \frac{p}{q}$ (where $[.]$ denotes greatest integer function), then $p + q$ (where $p, q$ are relative prime) is:

Smart Achievers · Accepted Answer

(2)

$\lim_{x \to \infty} \frac{3}{x} (\frac{x}{4} - {\frac{x}{4}}) = \frac{3}{4} - 0 = \frac{3}{4} \Rightarrow p + q = 7$

Solution

Q.
$\lim_{x \to \infty} \frac{3}{x} [\frac{x}{4}] = \frac{p}{q}$ (where $[.]$ denotes greatest integer function), then $p + q$ (where $p, q$ are relative prime) is:

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2 7

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4 6

Ans.
(2)

$\lim_{x \to \infty} \frac{3}{x} (\frac{x}{4} - {\frac{x}{4}}) = \frac{3}{4} - 0 = \frac{3}{4} \Rightarrow p + q = 7$

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Solution

Q. limx→∞3x[x4]=pq (where [.] denotes greatest integer function), then p+q (where p,q are relative prime) is:

1 2

2 7

3 5

4 6

Ans. (2) limx→∞3x(x4-{x4})=34-0=34⇒p+q=7

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Q.
$\lim_{x \to \infty} \frac{3}{x} [\frac{x}{4}] = \frac{p}{q}$ (where $[.]$ denotes greatest integer function), then $p + q$ (where $p, q$ are relative prime) is:

Ans.
(2)

$\lim_{x \to \infty} \frac{3}{x} (\frac{x}{4} - {\frac{x}{4}}) = \frac{3}{4} - 0 = \frac{3}{4} \Rightarrow p + q = 7$