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If L=lim(x->0)(sin2x+asinx)/(x^3) is f...

If `L=lim_(x->0)(sin2x+asinx)/(x^3)` is finite, then find the value of `a`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. If lim(x rarr 0)[1+x ln(1+b^2)]^(1/x)=2b sin^2 theta, b gt 0 "and" the...

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  3. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

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  4. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

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  7. Evaluate: [("lim")(xrarr0)(tan^(-1)x)/x], where [.]represent the g...

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  8. 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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  9. Evaluate: ("lim")(xto pi/4)(sqrt(2)cosx-1)/(cotx-1)

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  10. underset(xto0)lim[(1-e^(x))(sinx)/(|x|)] is (where [.] represents the ...

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  11. Evaluate: lim(x->0)(1-cosm x)/(1-cosn x)

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  12. underset(xtooo)lim(cot^(-1)(x^(-a)log(a)x))/(sec^(-1)(a^(x)log(x)a)),(...

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  13. Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)

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  16. lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

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  18. The value of lim(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-...

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  19. Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(s...

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