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AAKASH SERIES-LIMITS-EXERCISE-II
- If Lim(x to0) [1+x+(f(x))/(x)]^(1//x)=e^(3), then f(x) is
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- underset(x to 0)"Lt" ((1^(x)+2^(x)+3^(x)+....+n^(x))/(n))^(1//x))
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- Lt(x to 0) ((2^(x)+2^(2x)+2^(3x))/(3))^(1//x)=
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- Lt(x to oo) ((a(1)^((1)/(x))+a(1)^((1)/(x))+....+a(n)^((1)/(x)))/(n))(...
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- Lt(x to oo) ((a^((1)/(x))+b^((1)/(x))+c^((1)/(x)))/(3))^(x) when a,b,c...
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- Observe the following lists : The correct match is
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- Lt(x to0) ((|x|)/(x)+x+2)=
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- Lt(x to0)(sinx^(2))/(|x|)=
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- Lt(x to0)(1)/(x)=
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- Lt(x to 0) (1)/(2) (sqrt(1-cos2x))/(x)=
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- f(x)=(tanx)/(sqrt(1+tan^(2)x)) and f((pi)/(2)-)=a,f((pi)/(2)+)=b then
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- underset(x to oo)"Lt" (e^(1//x)-e^(-1//x))/(e^(1//x)+e^(-1//x))=
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- Assertion (A) : Lt(x to0) (x)/(1+e^((1)/(x)))=0 Reason(R) : As x to...
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- If f: R to R is defined by f(x)==[x-3]+|x-4| for x in R then Lt(x to3...
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- Lt(x to 1){1-x+[x-1]+[1-x])=
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- If l(1)= Lt(x to2^(+))(x+[x]),l(2)=Lt(x to 2^(-))(2x-[x]) and l(3)=Lt...
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- Lt(x to (pi)/(2))[ sinx]=
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- If f(x)= {{:(,2x+b,(x lt a)),(,x+d,(x ge a)):}" is such that " underse...
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- If f(x)={{:(1 ,if "x is reational"),(-1, if "x is irrational"):}then ...
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- f(x)={{:(x ",",if "x is reational"),(-x",", if "x is irrational"):} L...
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