MCQ
$\lim_{x \rightarrow 0} \phi \left( x \right)={{a}^{3}},a\ne 0$ , તો $\lim_{x \rightarrow 0} \phi \left( \frac{x}{a} \right)=.........$
- A${{a}^{2}}$
- B$\frac{1}{{{a}^{2}}}$
- C$\frac{1}{{{a}^{3}}}$
- ✓${{a}^{3}}$
$\lim_{x \rightarrow 0}\phi(\frac{x}{a})$
અહી $x=at$ મુકવા $\therefore t\rightarrow 0$ કારણકે $x\rightarrow0$
$\lim_{at \rightarrow 0}\phi(\frac{at}{a})$
$\lim_{t \rightarrow 0}\phi(t)=a^3$
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(જ્યાં $\{.\}$ એ અપૂર્ણાક ભાગ વિધેય છે )