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CGPET PREVIOUS YEAR PAPERS-सीमा , सततता तथा अवकलनीयता -वस्तुनिष्ट प्रश्न
- यदि f(x)={{:((x^(2)+3x-10)/(x^(2)+2x-15),"जब "x ne -5),(a, "जब "x=-5):...
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- lim(x to o)(e^(x^(2))-cosx)/(x^(2))का मान है
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- यदि lim(x to o)(log(a+x)-loga)/(x)+k lim(x to e)(logx-1)/(x-e)=1,तो
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- lim(x to o)sqrt(1/2(1-cos2x))/(x) का मान है
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- यदि f:Rto R एक अवकलनीय फलन है तथा f(1)=4,तो lim(x to 1)int(4)^(f(x))(2...
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- यदि f(a)=2, f'(a)=1, g(a)=1, g'(a)=2, तो lim(x to a)(g(x)f(a)-g(a)f(x)...
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- lim(x to0)(e^(alphax)-e^(betax))/(x) का मान है
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- lim(x to 0)((1+x)^(1//x)-e)/(x) का मान हैं
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- यदि f(x)={{:(x+lambda,x lt 3),(4,x=3),(3x-5,x gt 3):} x=3 पर सतत हो तो...
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- lim(x to oo)((x+2)/(x+1))^(x+3) बराबर है
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- lim(n to oo)[(n)/(1+n^(2))+(n)/(4+n^(2))+(n)/(9+n^(2))+...+(1)/(2n)] क...
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- lim(x to (pi)/(2))(a^(cotx)-a^(cosx))/(cotx-cosx) का मान है
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- lim(x to oo)(sqrt(x^(2)+1)-x) का मान है
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- lim(x to o)(sinx+log(1-x))/(x^(2)) का मान है
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- माना f(x)={{:(0,xlt0),(x^(2),xge 0):} तब x के सभी मानो के लिये
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- माना, g(x) = xf(x), जहाँ f(x)={(x^(2)"sin"(1)/(x),:x ne 0),(0,:x=0):} ...
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- यदि f(2)=4 तथा f'(x)=4, तब lim(x to 2)(xf(2)-2f(x))/(x-2) का मान है
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- यदि f(x)={{:((sin|x|)/([x]+1),x gt 0),((cos.(pi)/(2)|x|)/([x]), x lt 0...
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- यदि f(x)={{:((sqrt(1+Kx)-sqrt(1-kx))/(x), -1 le x lt 0"के लिए "),(2x^(...
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- lim(x to o)[(sqrt(a+x)-sqrt(a-x))/(x)] का मान है
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