MCQ
જો $f(x)$ એ વિકલનીય વિધેય હોય , તો $\mathop {\lim }\limits_{x \to a} {{af(x) - xf(a)} \over {x - a}} =. . ..$
- ✓$af'\,(a) - f\,(a)$
- B$af\,(a) - f'(a)$
- C$af'\,(a) + f\,(a)$
- D$af\,(a) + f'(a)$
==> $\mathop {\lim }\limits_{x \to a} \,\frac{{af(x) - xf(a) + af(a) - af(a)}}{{x - a}}$
==> $\mathop {\lim }\limits_{x \to a} \,\frac{{a[f(x) - f(a)] - f(a)[x - a]}}{{x - a}}$
==> $\mathop {\lim }\limits_{x \to a} \,\frac{{a[f(x) - f(a)]}}{{x - a}} - \mathop {\lim }\limits_{x \to a} \,f(a)$
==> $af'(a) - f(a)$.
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