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फलन `f(x)=1/(2+x) "की" x = 2 ` पर दक्षिण पक्ष ( Right hand limit) तथा वाम पक्ष सीमा ( Left hand limit ) ज्ञात कीजिए । |
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Answer» दक्षिण पक्ष सीमा वाम पक्ष सीमा `I. f(x+h)= 1/(2+(x+h)) " " I. f(x -h)=1/(2+(x-h))` ` II. f(2+h)= 1/(2+(2+h)) " " II.f(2-h)=1/(2+(2-h))` ` =1/(4+h)" "=1/(4-h)` ` III. lim_(h to 0) f(2+h) " " III.lim_(hto 0)f(2 -h)` ` lim_(h to 0) 1/(4 +h) " " lim_( h to 0) 1/(4 -h)` या `f(2+0)=1/4 " " या f(2-0)=1/4` |
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