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lim(nrarroo) (3.2^(n+1)-4.5^(n+1))/(5.2^...

`lim_(nrarroo) (3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=`

A

0

B

43529

C

`-4//7`

D

`-20//7`

Text Solution

Verified by Experts

The correct Answer is:
D
`underset(nrarroo)(lim)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))`
`" "=underset(nrarroo)(lim)(6.2^(n)-20.5^(n))/(5.2^(n)+7.5^(n))`
`" "=underset(nrarroo)(lim)(6.(2//5)^(n)-20)/(5.(2//5)^(n)+7)`
`" "=(0-20)/(0+7)=(-20)/(7)`
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CENGAGE-LIMITS-Single Correct Answer Type
  1. The value of lim(xrarroo) x^(2)(1-cos.(1)/(x)) is

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  2. lim(xrarroo) root3(x)(root3((x+1)^(2))-root3((x-1)^(2)))=

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  3. lim(nrarroo) (3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

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  4. undersetlim(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))= (where {.} denotes ...

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  5. lim(xrarroo) (cot^(-1)(sqrt(x+1)+sqrtx))/(sec^(-1){((2x+1)/(x-1))^(x)}...

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  6. lim(xrarr0) (3 tan3x-4 tan2x-tanx)/(4x^(2)tanx)

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  7. lim(xrarr0) [(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the greatest...

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  8. The value of lim(xrarr(pi)/(4)) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

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  9. The value of lim(xrarroo) (e^(sqrt(x^(4)+))-e^((x^(2)+1))) is

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  10. The value of lim(xrarrpi//4) (tan^(3)x-tanx)/(cos(x+(pi)/(4))) is

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  11. lim(xrarr(pi)/(2)) ((1-sinx)(8x^(3)-pi^(3)))/(pi-2x)^(4)

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  12. lim(xrarroo) (sum(r=1)^(10)(x+r)^(2010))/((x^(1006)+1)(2x^(1004)+1))=

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  13. If lim(xrarr0) (f(x))/(x^(2))=a and lim(xrarr0) (f(1-cosx))/(g(x)sin^(...

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  14. If f(x)={{:((x)/(sinx)",",x gt0),(2-x",",xle0):}andg(x)={{:(x+3",",xlt...

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  15. If k in I such that lim(nrarroo) (cos.(kpi)/(4))^(2n)-(cos.(kpi)/(6))^...

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  16. If a(n) and b(n) are positive integers and a(n)+sqrt2b(n)=(2+sqrt2))^(...

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  17. The value of (lim(x rarr 0) (tanx^((1)/(5)))/((tan^(-1)sqrtx)^(2))(log...

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  18. The value of lim(xrarr3) ((x^(3)+27)log(e)(x-2))/(x^(2)-9) is

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  19. The value of lim(xrarr0^(+))((1-cos(sin^(2)x))/(x^(2)))^((log(e)(1-2x^...

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  20. lim(xrarr0) (1)/(x^(2))|(1-cos3x,log(e)(1+4x)),(sin^(-1)(x^(x)-),tan^(...

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