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Evaluate: ("lim")(x->2)(sqrt((x+7))-3sqr...

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

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate : ("lim")(xvecoo)(a x^2+b x+c)/(dx^2+e x+f)dot

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

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

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

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

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

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

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  8. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

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  9. Evaluate: lim(x->1)(sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrt(x)))+sqrt(sqr...

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  10. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (c)...

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  11. Evaluate ("lim")(xvec2)(x^(10)-1024)/(x^5-32)

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  12. ("lim")(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2))i se q u a lto 1 (b) 0 (...

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  13. If ("lim")(x->2)(x^n-2^n)/(x-2)=80 and n in N ,then find the value of...

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  14. lim(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a)...

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  15. Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)

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  16. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

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  17. Evaluate: lim(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5s...

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  18. The value of lim(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 ...

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  19. Evaluate : ("lim")(xvecoo)sqrt(x)(sqrt(x+c)-sqrt(x))

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  20. lim(xrarroo)((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) ...

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