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underset( x rarr - 7)( "Lim")( [x]^(2) +...

`underset( x rarr - 7)( "Lim")( [x]^(2) + 15[x]+ 56)/( sin (x + 7 ) sin ( x+ 8 ))`
( where `[**]` denotes greatest integer function )

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MOTION-LIMIT-EXERCISE-3
  1. underset( x rarr - 7)( "Lim")( [x]^(2) + 15[x]+ 56)/( sin (x + 7 ) sin...

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  2. underset( x rarr 1 ) ( "Lim") ( x^(2) - x. ln x + ln x - 1)/( x - 1)

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  3. evaluate lim(thetararrpi/4)(sqrt2-costheta-sintheta)/(4theta-pi)^2

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  4. lim(hrarr0)(sin(pi/3+4h)-4sin(pi/3+3h)+6sin(pi/3+2h)-4sin(pi/3+h)+sinp...

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  5. If underset( x rarr 1)("Lim")( ( 1-x)(1-x^(2))(1-x^(3))"......."(1-x^...

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  6. lim(n->oo) 1/sqrt(n^2)+1/sqrt(n^2+1)+1/sqrt(n^2+2)+.....1/sqrt(n^2+2n)...

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  7. Evaluate : ("lim")(xrarroo) 1/(1+n^2)+2/(2+n^2)+...+n/(n+n^2)

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  8. underset( x rarr (pi)/(4))("Lim")(1-tanx)/( 1- sqrt(2) sin x)

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  9. Find the sum of an infinite geometric series whose first term is the l...

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  10. Evaluate the following limit: (lim)(x->1/(sqrt(2)))(cos^(-1)(2xsqrt...

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  11. underset( x rarr ( pi )/( 4))("Lim")(sqrt( 1- sqrt( sin x)))/(pi - 4x)

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

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

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

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

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

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

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

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

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

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