Question
Download Solution PDFनिम्नलिखित में से कौन सा \(\rm \lim_{x\rightarrow 3}\frac{|x-3|}{x-3}\) के संबंध में सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है:
\(\rm \lim_{x\rightarrow 3}\frac{|x-3|}{x-3}\)
LHL = \(\rm \lim_{x\rightarrow 3}\frac{|x-3|}{x-3} = \frac{-(x-3)}{x-3} = -1\)
RHL = \(\rm \lim_{x\rightarrow 3}\frac{|x-3|}{x-3} = \frac{(x-3)}{x-3} =1\)
LHL ≠ RHL; सीमा का अस्तित्व नहीं है
इसलिए विकल्प (d) सही है।
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