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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- If [x] denotes greatest integer le x, then match the following limits ...
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- Match List - I with List-II
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- The value of lim(xrarr1)(x+x^2+x^3+...+x^97-97)/((x-1)) must be M. The...
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- If lim(xrarr0)1/x^2(e^(ax)-e^x-x)=3/2, then the value of |alpha|must b...
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- If f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx)...
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- Given, f(x)={((x^4-256)/(x-4), x ne 4), ( lambda, x = 4):}. If f is co...
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- If f(x)={((8^x-4^x-2^x+1^x)/x^2, x gt 0),(e^x sinx + pi x + lambda In4...
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- If f(x)={(((exp{(x+3)ln27})^(1/27[x])-9)/(3^x-27), x lt 3), (lamda.((1...
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- If f(x)={(5+x^2, x lt 1), (x-4, x ge 1):} is jump discontinuous, then ...
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- A function f : R to R satisfies the equation f(x + y) = f(x), f(y) for...
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- If f(x) is continuous and f(9/2) = 2/9, then find lim(xrarr0)9f((1-cos...
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- If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then fi...
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- Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), the...
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- Number of point of discontinuity of f(x)=tan^2x-sec^2x in (0, 2pi) is
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- Evaluate the following limits : lim(xrarr0)(5^x-4^x)/(3^x-1)
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- Evaluate the following limits : lim(nrarrinfty)(1^2+2^2+3^2+...+n^2)/...
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- Evaluate the following limits : lim(xrarrpi/2)(sec x-tan x)
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- Evaluate the following limits : lim(xrarrinfty)(x-sqrt(x^2+ x))
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- Evaluate the following limits : lim(xrarr0)sqrt((1/2(1-cos2x))/x
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- Evaluate the following limits : lim(xrarr0)(1+|sinx|)^(1/x)
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