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AAKASH SERIES-LIMITS-PRACTICE EXERCISE
- Lt(x to oo) ((x^(2)+5x+3)/(x^(2)+x+2))=
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- If a,b,c,d are positive real numbers then underset(n to oo)"Lt" (1+(1)...
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- Lt(x to 0)(1+tan^(2) sqrt(x))^(1//2x)
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- Lt(x to 0)(cosx+sinx)^(1//x)=
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- underset(x to 0)"Lt" ((16^(x)+9^(x))/(2))^(1//x)=
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- Lt(x to oo)((2^((1)/(x))+27^((1)/(x))+8^((1)/(x)))/(3))^(x)=
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- Lt(x to 0)((2^(x)+3^(x)+8^(x)+27^(x))/(4))^((1)/(sinx))=
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- Lt(x to oo)(1-(7)/(x))^(3x)=
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- Lt(x to oo)(1+(3)/(x))^(x//2)=
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- 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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