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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- lim(n rarr oo) n(sqrt(n^(2)+8)-n) =
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- lim(n rarr oo) (nsqrt(n^(2)+1)-n) =
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- lim(n rarr oo) n(sqrt(n^(2)+6)-n) =
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- lim(n rarr oo) (4^(n)+5^(n))^(1/n) =
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- The value of lim(x rarr 0) ((e^(x)-1)/x)
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- lim(x rarr oo) ((x+6)/(x+1))^(x+4) =
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- lim(x rarr 0) (e^(x)-(1+x))/x^(2) =
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- lim(x rarr 0) (tan (sin^(-1) 3x))/(sin^(-1) (2 tan x)) =
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- If g(x) = -sqrt(25-x^(2)) the lim(x rarr 1) (g(x)-g(1))/(x-1) =
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- f(x) = cot^(-1) ((3x-x^(3))/(1-3x^(2))) and f(x) = sin^(-1) ((1-x^(2))...
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- Let f(x) = sin^(-1) (1-2x^(2)) and g(x) = cos^(-1)(4x^(3)-3x) then lim...
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- lim(x rarr a) ((cos x - cos a)/(cot x - cot a)) =
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- If f(2) = 2 and f^(')(2) = 1, then lim(x rarr 2) (2x^(2)-4 f(x))/(x-2)...
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- If f(5) = 7 and f^(')(5) = 7 then lim(x rarr 5) (x f(5) - 5 f(x))/(x-5...
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- lim(h rarr 0) (sqrt(x+h) - sqrtx)/h =
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- lim(n rarr oo) (4^(n)+5^(n))^(1/n) =
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- lim(n rarr oo) 5^(((2x)/(x+3)) =
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- lim(x rarr oo) (1-2/x)^(x) =
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- lim(n rarr oo) (sin n theta)/(sqrt n) =
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- lim(x rarr oo)((x)/(1+x))^(x) =
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