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NOOTAN HINDI-सीमा और अवकलज -प्रश्नावली 13A
- lim(xto1)[(x-2)/(x^2-x)-(1)/(x^3-3x^2+2x)]
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- (i) lim(xtoa)(x^m-a^m)/(x^n-a^n) (ii) lim(xto0)((1+x)^(1//n)-1)/(x)
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- lim(xto oo)(x^3+3x^2+6x+5)/(x^3+x+2)
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- lim(xto oo) ((2x-3)(3x-4))/((4x-5)(5x-6))
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- lim(xto oo) (2x)/(1+4x)
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- lim(xtooo)(x^2+5x-1)/(3x^2+2)
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- lim(xtooo)(1^2+2^2+3^2+...+x^2)/(x^3)
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- lim(xtooo)(sqrt(3x^2-1)-sqrt(2x^2-3))/(4x+3)
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- (i) lim(xtooo)(sqrt(x^2+x+1)-sqrt(x^2+1)) (ii) lim(xtooo)(n)/(2)r^2s...
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- lim(xtopi)sin(pi-x)/(pi(pi-p))
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- (i) lim(xto0)("cosec " x-cot x)/(x) (ii) lim(xto0)(sin x -2sin 3x +...
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- (i) lim(xto0)(xtan4x)/(1-cos4x) (ii) lim(yto0)((x+y)sec(x+y)-x sec x...
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- (i) lim(xto(pi)/(2))(1+cos2x)/((pi-2x)^2) (ii) lim(xto0)(1-cosxsqrt(...
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- यदि f(x) फलन निम्न प्रकार परिभाषित है f(x)={{:(1",",x gt 0),(1",",x lt...
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- यदि f(x) फलन निम्न प्रकार परिभाषित है f(x)={{:(x",",0le x lt(1)/(2)...
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- यदि f(x) फलन निम्न प्रकार परिभाषित है f(x)={{:(2x+3",",xle0),(3x+3",",...
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- यदि f(x)=(|x|)/(x) , तो दिखाइए कि lim(xto0)f(x) का अस्तित्व नहीं है ।
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- यदि f(x)=(|x-a|)/(x-a) , तो दिखाइए कि lim(xtoa)f(x) का अस्तित्व नहीं ह...
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- यदि f(x) फलन निम्न प्रकार परिभाषित है कि f(x)={{:(x", "0le xlt1,),(2...
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- यदि f(x)={{:(a+bx", "xlt 1,),(4", "x=1,),(b-ax", "xgt1,):} और lim(xto...
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