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If f(x)f(y) + 2 = f(x) + f(y) + f(xy) an...

If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then find f(x).

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  3. 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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  4. Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), the...

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  7. Evaluate the following limits : lim(nrarrinfty)(1^2+2^2+3^2+...+n^2)/...

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  8. Evaluate the following limits : lim(xrarrpi/2)(sec x-tan x)

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  9. Evaluate the following limits : lim(xrarrinfty)(x-sqrt(x^2+ x))

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  10. Evaluate the following limits : lim(xrarr0)sqrt((1/2(1-cos2x))/x

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  11. Evaluate the following limits : lim(xrarr0)(1+|sinx|)^(1/x)

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  12. Evaluate the following limits : lim(xrarr1)(1-x)tan frac(pix)2

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  13. Evaluate the following limits : lim(xrarrinfty)x(e^(1/x)-1)

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  14. Evaluate the following limits : lim(xrarrpi/3)sin(pi/3-x)/(2cosx-1)

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  15. Evaluate the following limits : lim(nrarrinfty)n(x^(1/n)-1), xgt0

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  16. Find the set of points where the following functions are discontinuous...

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