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lim(x->0)log(1+2x)/x...

`lim_(x->0)log(1+2x)/x`

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Prove that: lim_(xto0)log(1+2x)/(sin3x)=(2)/(3)

Prove that: lim_(x to0)log(1+sinx)/(x)=1

Evaluate : lim_(x->0)(log)_(tan^2x)(tan^2 2x)dot

Evaluate: lim_(x->0)(log(5+x)-"log"(5-x))/x

Evaluate: lim_(x->0)(e^x-1-x)/(x^2)

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CENGAGE PUBLICATION-LIMITS-Single Correct Answer Type
  1. If agt0, b gt0 than lim(nrarroo) ((a-1+b^((1)/(n)))/(a))^(n)=

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  2. If f(x)=lim(nrarroo) (cos(x)/(sqrtn))^(n), then the value of lim(xrarr...

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  3. lim(xrarr0) (log(e^(x^(2))+2sqrtx))/(tansqrtx) is equal to

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  4. Let f:RrarrR be such that f(a)=1, f(a)=2. Then lim(x to 0)((f^(2)(a+x)...

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  5. L=underset(nrarroo)(lim)((sqrt(n^(2)+n)-1)/(n))^(2sqrt(n^(2)+n)-1)

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  6. If f(n)=underset(xto0)lim{(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"s...

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  7. lim(nrarroo) (1-x+x.root n e)^(n) is equal to

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  8. The value of lim(xrarr1) (root(13)x-root7x)/(root5x-root3x) is

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  9. The value of underset(xrarr1)(lim)(root(2)x-root4x)/(root3x-root2x) is

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  10. The value of lim(x rarr 0) (1-cos2x)/(e^(x^(2))-e^(x)+x) is

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  11. If f^(prime)(a)=1/4, t h e n(lim)(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3...

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  12. underset(xrarr0^(+))(lim)(1)/(xsqrtx)(atan^(-1).(sqrtx)/(a)-b tan^(-1)...

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  13. The value of lim(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2...

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  14. Let f : R rarr R be a differentiable function at x = 0 satisfying f(0)...

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  15. The value of lim(xrarr(3pi)/(4)) (1+root3(tanx))/(1-2cos^(2)x) is

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  16. lim(x->4)(x-2)/(x-8)

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  17. lim(x->0)(3^x-1)/x

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  18. lim(x->0)log(1+2x)/x

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  19. If lim(xrarr0)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is equal to

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  20. If lim(xrarroo) xlog(e)(|(alpha//x,1,gamma),(0,1//x,beta),(1,0,1//x)|)...

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