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Evaluate : [underset(x to 0)lim (tan x)/...

Evaluate : `[underset(x to 0)lim (tan x)/(x)]`, where `[*]` represents the greatest integer function.

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. Find lim(x->0)(5x+2cosx)/(3x+14) using sandwitch theorem

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  3. Evaluate : [underset(x to 0)lim (tan x)/(x)], where [*] represents the...

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  4. If lim(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the range of x.

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  5. Evaluate : [underset(x to 0)lim (tan x)/(x)], where [*] represents the...

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  6. Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

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  7. Evaluate: lim(x->2)(x-2)/((log)a(x-1))

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  8. Evaluate: lim(x->0)(e^(sinx)-(1+sinx))/({tan^(-1)(sinx)}^2)

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  9. Evaluate: lim(x->a)(logx-loga)/(x-a)

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  10. Evaluate: (lim)(x->(3pi)/4)(1+(tanx)^(1/3))/(1-2cos^2x)

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  11. Evaluate: lim(x->0)(10^x-2^x-5^x+1)/(xtanx)

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  12. lim(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-cos(x+1))/((x+1)^(2)) is equal...

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  13. Evaluate: lim(x->0)(3^(2x)-2^(3x))/x

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  14. lim(x->2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(...

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  15. Evaluate: lim(x->0)(log(5+x)-"log"(5-x))/x

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  18. Column I ([.] denotes the greatest integer function), Column II ""(...

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  19. Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

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  20. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13)

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