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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
- Let f(x) = [{:((g(x) - g(a))/(x-a),x ne 0),(g'(a),x = a):}, where g is...
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- Let f(x) = {{:(1,x le -1),(|x|,-1 lt x lt 1),(0,x ge 1):}, then :
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- The function f(x) = [x] is :
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- Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...
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- Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...
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- Let f(x) = (tan (pi//4-x))/(cot 2x)"for x" ne pi//4, then for f to be ...
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- Let f(x) = [{:((x^(2))/(a),0 le x lt 1),(a,1 le x lt sqrt(2)),((2b^(2)...
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- The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(...
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- Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)lim The value, which sho...
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- To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as
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- If f(x) = (1)/(2) x - 1, then on the interval [0, pi] :
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- The value of x, where the function : f(x) = (tan x log (x-2))/(x^(2) -...
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- 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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