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underset(xto0)lim((2^(m)+x)^(1//m)-(2^(n...

`underset(xto0)lim((2^(m)+x)^(1//m)-(2^(n)+x)^(1//n))/(x)` is equal to

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

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  2. underset(xtooo)lim(x(logx)^(3))/(1+x+x^(2)) equals

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  3. underset(xto0)lim((2^(m)+x)^(1//m)-(2^(n)+x)^(1//n))/(x) is equal to

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  4. lim(x to 1) (1-x)tan((pix)/2)

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  5. If f(x)={sinx ,x!=npi,n in I2,ot h e r w i s e g(x)={x^2+1,x!=0,4,x=...

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  6. ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...

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  7. lim(x to pi/2)sin(xcosx)/("cos"(xsinx)) is equal to (a) 0 (b) pi/2 ...

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  8. If lim xto0(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, then (a)...

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  9. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

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  10. lim(xto1) ((1-x)(1-x^(2))...(1-x^(2n)))/({(1-x)(1-x^(2))...(1-x^(n))}^...

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  11. The value of lim(x->0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] repre...

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  12. The value of lim(x->1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(sin^(-...

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  13. The value of underset(xtooo)lim((2^(x^(n)))e^((1)/(x))-(3^(x^(n)))e^((...

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  14. Let lim(xto0) ([x]^(2))/(x^(2))=m, where [.] denotes greatest integer....

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  15. underset(xto1)lim(xsin(x-[x]))/(x-1), where [.] denotes the greatest i...

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  16. underset(xto0)lim[(sin(sgn(x)))/((sgn(x)))], where [.] denotes the gre...

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  17. underset(xtooo)lim(2+2x+sin2x)/((2x+sin2x)e^(sinx)) is equal to

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  18. If f(x)=(cosx)/((1-sinx)^(1/3)) then (a) ("lim")(xrarrpi/2)f(x)=-oo (b...

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

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

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