Question
Download Solution PDFफलन f(x) = |x - 3| के संबंध में निम्नलिखित पर विचार कीजिए:
1. f(x), x = 3 पर निरंतर है।
1. f(x), x = 0 पर अवकलनीय है।
उपरोक्त कथनों में से कौन-सा/कौन-से कथन सही है/हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि
यदि LHD = RHD
f(x) = |x|, यदि x > 0 है, तो f(x) = x है और यदि x < 0 है, तो f(x) = -x है।
गणना:
LHL =
RHL =
f(x = 3) = 0
∴ f(x), x = 3 पर निरंतर है।
LHD = RHD, इसलिए, f(x), x = 0 पर अवकलनीय है।
अतः विकल्प (3) सही है।
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