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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- 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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- lim(x rarr 0) (a^(x)-1)/(sqrt(1+x) -1) =
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- If a,b, c, d are positive, then lim(x rarr oo) (1 + 1/(a+bx))^(c+dx)=
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- lim(x rarr 0) ((1+tanx)/(1+sin x))^(cosec x) =
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- lim(x rarr 00) ((2+x)^(30)(4+x)^(7))/((2-x)^(37)) =
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- lim(x rarr 0) [(10^(x)-2^(x)-5^(x)+1)/(x . tan x)] =
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- lim(n rarr oo) (3.2^(n+1) - 4.5^(n+1))/(5.2^(n) + 7.5^(n)) =
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- If lim(x rarr 0) (1 + px)^(q/x) = e^(4), where p,q in N, then
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- lim(x rarr 0) (sin x + log (1-x))/x^(2) =
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- Let f(x) = {(1+x, x gt 0),(x, x le 0):} . Lim(x rarr 0) f(x) =
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- lim(h rarr 0) (sqrt(x+h) - sqrtx)/h =
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- The values of a and b so that lim(x rarr oo) [(x^(2)+1)/(x+1) - ax-b] ...
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- lim(x rarr 2) (sqrt(x-2) + sqrtx - sqrt2)/(sqrt(x^(2)-4)) =
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