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("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))],...

`("lim")_(x->0)[(sin(sgn(x)))/((sgn(x)))],` where`[dot]` denotes the greatest integer function, is equal to (a)0 (b) 1 (c) `-1` (d) does not exist

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Let lim(x->0)([x]^2)/(x^2)=l and lim(x->0)([x^2])/(x^2)=m , whe...

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  3. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

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  6. lim(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

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  7. T1 is an isosceles triangle in circle C. Let T2 be another ísoscele...

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  8. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

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  9. ("lim")(xvecoo)[(e/(1-e))(1/e-x/(1+x))]^xi s e^((1-e)) (b) e^(((1-e)...

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  14. If y=sin^(-1)((2x)/(1+x^2)), then find (dy)/(dx)

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  15. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

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  17. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

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  18. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

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  19. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

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  20. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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