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underset(xto1)lim(1+sinpi((3x)/(1+x^(2))...

`underset(xto1)lim(1+sinpi((3x)/(1+x^(2))))/(1+cospix)` is equal to

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the limit: lim(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

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  2. ("lim")(ntooo)sum(x=1)^(20)cos^(2n)(x-10) is equal to

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  3. underset(xto1)lim(1+sinpi((3x)/(1+x^(2))))/(1+cospix) is equal to

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  4. f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim(x->oo)f(x) is equal...

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  5. lim(ntooo) {((n)/(n+1))^(alpha)+"sin"(1)/(n)}^(n) (where alphainQ) is ...

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  6. The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))...

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  7. If underset(ntooo)lim(n.3^(n))/(n(x-2)^(n)+n.3^(n+1)-3^(n))=1/3, then ...

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  8. If ("lim")(xveca)[f(x)g(x)] exists, then both ("lim")(xveca)f(x)a n d(...

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  9. If f(x)=underset(ntooo)limn(x^(1//n)-1)," then for "xgt0, ygt0,f(xy) i...

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  10. lim(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is

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  11. underset(xto1)lim[cosec(pix)/(2)]^(1//(1-x)) (where [.] represents the...

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  12. Given lim(x to 0)(f(x))/(x^(2))=2, where [.] denotes the greatest inte...

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  13. Let f(x)=(x^2-9x+20)/(x-[x]) (where [x] is the greatest integer not gr...

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  14. Use formula lim(x->0)(a^x-1)/x=log(a) to find lim(x->0)(2^x-1)/((1+x)^...

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  15. Evaluate : lim(x to 0) {tan(pi/4+x)}^(1/x)

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  16. f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim(x->0)f^...

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  17. Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

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

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

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

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