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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
- Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...
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- Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1, when x gt 1, then :
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- Let the function f be defined by f(x) = "x sin" (1)/(x), when x ne 0 =...
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- f(x) = (|x-a|)/(x-a), when x ne a, = 1, when x = a, then :
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- The value of f(0) for which the function : (log(e) (1-ax) - log(3) (1-...
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- If f(x) = ((e^(x)-1)^(4))/(sin((x^(2))/(lambda^(2)))log(1+(x^(2))/(2))...
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- If f(x) = [x] + [-x], x ne 2 = lambda, x = 2, then f is continuous at ...
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- Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," ...
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- lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :
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- lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :
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- lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...
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- The value of lim(x rarr 0) (int(0)^(x^(2))sec^(2)t dt)/(x sin x) is :
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- The value of lim(n rarr oo) (1 + 2^(4) + 3^(4) +…...+n^(4))/(n^(5)) - ...
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- lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...
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- If lim(h rarr 0) (1 + (a)/(x) + (b)/(x^(2)))^(2x) = e^(2), then the va...
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- Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...
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- Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0, then ...
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- lim(x rarr (pi)/(4)) (int(2)^(sec^(2)x) f(t) dt)/(x^(2) - (pi^(2))/(16...
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- For x gt 0, lim(x rarr 0) ((sin x)^(1//x) + ((1)/(x))^(sin x)) is :
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- The function f : R//{0} rarr R given by : f(x) = (1)/(x) - (2)/(e^(2...
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