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AAKASH SERIES-LIMITS-PRACTICE EXERCISE
- for x in R,Lt(x to oo)((x-3)/(x+2))^(x)=
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- Lt(x to 1)x^((1)/(1-x))=
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- Lt(x to 0)(1+tanx)^(cotx)=
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- Observe the following lists:
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- Lt(x to oo)((1^(1//x)+2^(1//x)+3^(1//x)+...+n^(1//x))/(n))^(nx)=
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- Lim(x to oo)[1+"sin"(a)/(n)]^(n) is eqal to
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- Lim(x to oo)[((n)/(n+1))^(a)+"sin"(1)/(n)]^(n)=
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- Lt(x to 0)(sqrt(1-cos2x))/(sqrt(2)x)=
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- Assertion (A) : Lt(x to 2) sqrt(2-x)=0 Reason (R) : If a function f ...
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- Lt(x to -oo) (x^(3)"sin"(1)/(x)+x)/(1+|x|^(2))=
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- Lt(x to 0)(|x|)/(x)=
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- Assertion (A) : Lt(x to 0)(|x|)/(x)=1 Reason (R) : Limit of a functi...
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- underset(x to 3-)"Lt" (|x-3|)/(x-3)=
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- underset(x to 1)"Lt" (x^(2)-1)/(|x-1|=
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- Lt(x to 0)(sinx)/(|x|)=
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- Lt(x to 0)(sin|x|)/(|x|)=
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- Lt(x to 2) sqrt(4-x^(2))=
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- Lt(x to 2-){[x]-x}=
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- If f(x)=[2x], then
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- Lt(x to 0^(+))(3|x|+x)/(5|x|-3x)=
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