WBJEE · Maths · Limits
The value of \(\lim _{x \rightarrow 0^{+}} \frac{x}{p}\left[\frac{q}{x}\right]\) is
- A \(\frac{[q]}{p}\)
- B 0
- C 1
- D \(\infty\)
Answer & Solution
Correct Answer
(A) \(\frac{[q]}{p}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} &\text { Given, } \lim _{x \rightarrow 0^{+}} \frac{x}{p}\left[\frac{q}{x}\right]\\ &\begin{array}{l} =\lim _{x \rightarrow 0^{+}} \frac{x}{p}\left(\frac{q}{x}-\{\frac{q}{x}\right\}\right) \\ =\frac{[q]}{p}-\frac{x}{p}\left\{\frac{q}{x}\right\} \\…
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