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If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is ...

If `lim_(x->0)(x^n-sinx^n)/(x-sin^n x)` is non-zero finite, then `n` must be equal to 4 (b) 1 (c) 2 (d) 3

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  6. The value of ("lim")(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(si...

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  7. The value of lim(x->oo)((2^(x^n))^(1/e^x)-(3^(x^n))^(1/e^x))/(x^n) (w...

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  8. Let lim(x->0)([x]^2)/(x^2)=l and lim(x->0)([x^2])/(x^2)=m , whe...

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

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  11. lim(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

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

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

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

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  17. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e (b...

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  18. ("lim")(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) ...

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

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