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BANSAL-LIMITS AND DERIVATIVES-All Questions
- If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...
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- Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...
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- Evaluate ("Lim")(x->0)(xcosx-"ln"(1+x))/(x^2)
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- Evaluate find a and b if \ ("Lim")(x->0)(x(1+acosx)-bsinx)/(x^3)=1
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- ("Lim")(x->0)(e^xsinx-x-x^2)/(x^2+x-"ln"(1-x))
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- Evaluate: ("Lim")(x->0)(1+sinx-cosx+"ln"(1-x))/(xtan^2x) -1/2 (b)...
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- Evaluate: ("Lim")(x->0)((log)(secx/2)(cosx))/((log)(secx)(cos(x//2))) ...
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- Evaluate: ("Lim")(x->1)(x^x-x)/(x-1-lnx)
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- Evaluate: ("Lim")(x->0)(1-cosx cos2x cos3x)/(x^2)
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- Evaluate: ("Lim")(x->0)((cosa x)^(1//m)-(cosb x)^(1//n))/(x^2)
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- Evaluate: ("Lim")(x->0^+)("c o s e c"x)^(1/(lnx))
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- Evaluate: ("Lim")(x->pi//2)(secx)^(cotx)
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- Evaluate: ("Lim")(x->0^+)(cotx)^(1/(lnx))
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- Evaluate: ("Lim")(x->0)(1/x)^(tanx)
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- Evaluate: ("Lim")(x->0)x^x
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- Evaluate: ("Lim")(x->1)(1-x^2)^(1/(ln(1-x)))
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- Evaluate: ("Lim")(x->4)(sqrt(2x+1)+sqrt(x-3)-4)/(sqrt((3x+4))+sqrt(5x+...
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- Evaluate ("Lim")(x->pi/2)tanxlogsinx using Lhospitals Rule
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- Evaluate ("Lim")(x->0)(logcosx)/x using Lhospitals Rule
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- Evaluate ("Lim")(x->0)(2^x-1)/((1+x)^(1//2)-1) using Lhospitals Rule
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