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Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^...

Evaluate: `("lim")_(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(x^2)/4}`

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The correct Answer is:
`(1)/( 32)`
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MOTION-LIMIT-EXERCISE-3
  1. underset( x rarr ( pi )/( 4))("Lim")(sqrt( 1- sqrt( sin x)))/(pi - 4x)

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  2. underset( x rarr (3pi)/( 4))("Lim")(1+ root( 3)(tan x))/( 1-2 cos^(2) ...

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  3. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

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  4. If lim(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+|x|^(3)+5)/(|x|^(3)+|x^(2)|+|x...

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  5. lim(n->oo)sum(r=2)^n((r+1)sinpi/(r+1)-rsinpi/r)

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  6. underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))

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  7. Letf(x) = underset( n rarr oo)("Lim")underset( n=1)overset( n ) ( sum)...

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  8. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

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  9. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

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  10. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

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  11. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

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  12. Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...

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  13. lim(x->0)(2 7^x-9^x-3^x+1)/(sqrt(2)-sqrt(1+cosx))

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  14. lim(x->0) tan^(-1) (a/x^2), where a in R

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  15. Plot the graph of the function f(x)=lim(t->0)((2x)/pitan^(- 1)x/(t^2))

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  16. lim(x->oo)((2x^2+3)/(2x^2+5))^(8x^2+3)

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  17. lim(x->oo)((x+c)/(x-c))^x= 4 then find c.

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  18. Evaluate: lim(x->oo) { ((a1)^(1/x)+(a2)^(1/x)+.... +(an)^(1/x))/n}^(n...

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  19. L =lim(x->0)((1)/(ln(1+x))-1/(ln(x+sqrt(1+x^2)))) then find the value ...

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  20. underset( x rarr 0 ) ( "Lim") ((x- 1+ cos x )/( x))^((1)/( x))

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