MCQ
$\lim_{x \rightarrow 1} \frac{{{\log }_{e}}x}{x-1}=.........$
- A$0$
- ✓$1$
- C$2$
- D$\frac{1}{2}$
$\lim_{x \rightarrow 1}\frac{\log_{e}{x}}{x-1}$ $(\frac{0}{0})$ from L'Hospital rules
$=\lim_{x \rightarrow 1}\frac{\frac{1}{x}}{1}=1$
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$(1) \,\,\,A - B = A - (A \cap B)$
$(2) \,\,\,A = (A \cap B) \cup (A - B)$
$(3) \,\,\,A - (B \cup C) = (A - B) \cup (A - C)$
પૈકી . . . . સત્ય છે.