MCQ
$\mathop {\lim }\limits_{h \to 0} \frac{{\sqrt {x + h} - \sqrt x }}{h} = $
- ✓$\frac{1}{{2\sqrt x }}$
- B$\frac{1}{{\sqrt x }}$
- C$2\sqrt x $
- D$\sqrt x $
Aliter : Apply $L-$ Hospital rule,
$\mathop {\lim }\limits_{h \to 0} \,\,\frac{{\sqrt {x + h} - \sqrt x }}{h} = \mathop {\lim }\limits_{h \to 0} \,\,\frac{1}{{2\sqrt {x + h} }} = \frac{1}{{2\sqrt x }}$.
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$\equiv a_0 + a_1x + a_2x^2 + a_3x^3 + ...... + a_mx^m$ હોય તો $\sum\limits_{r\, = \,0}^m {\,\,{a_r}}$ ની કિમત મેળવો