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("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2...

`("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then the value of b ...

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  2. Evaluate : ("lim")(xvec1)(2/(1-x^2)+1/(x-1))

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  3. ("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=

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  4. Evaluate : ("lim")(xto1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

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  5. If L=("lim")(nvecoo)(2x3^2x2^3x3^4 x2^(n-1)x3^n)^1/((n^(2+1)) , then t...

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  6. Evaluate ("lim")(xvecpi/4)(1-sin2x)/(1+cos4x)

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  7. The value of lim(x->oo)((log)e((log)e x)/(e^(sqrt(x)))i s

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  8. Evaluate : ("lim")(xvecpi/4)(1-cot^3x)/(2-cotx-cot^3x)

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  9. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

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  10. Evaluate ("lim")(xrarr0)(sqrt(2+x)-sqrt(2))/x

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  11. The value of lim(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (...

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  12. Find the value of underset(xto0)lim(sinx+log(e)(sqrt(1+sin^(2)x)-sinx)...

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  13. The value of lim(hto0) (In (1+2h)-2ln (1+h))/(h^2), is

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  14. Evaluate : ("lim")(xvecoo)(a x^2+b x+c)/(dx^2+e x+f)dot

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  15. The value of lim(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/p...

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  16. Evaluate: ("lim")(x->2)(sqrt((x+7))-3sqrt((2x-3)))/((x+6)^(1/3)-2(3x-5...

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  17. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

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  18. Evaluate: ("lim")(xvecoo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

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  19. lim(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (...

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  20. Evaluate: lim(n->oo)sin^n((2pin)/(3n+1)),n in Ndot

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