If f(x)=(|x|)/(x), then show that lim(xr...

If `f(x)=(|x|)/(x)`, then show that `lim_(xrarr0) f(x)` does not exist.

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lim(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]
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(i) lim(xrarra) (x^(m)-a^(m))/(x^(n)-a^(n)) (ii) lim(xrarra) ((1+x)^...
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lim(xrarroo) (x^(3)+3x^(2)+6x+5)/(x^(3)+x+2)
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lim(x to 0) ((2x-3)(3x-4))/((4x-5)(5x -6))
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lim(xrarroo) (1^(2)+2^(2)+3^(2)+....+x^(2))/(x^3)
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lim(xrarroo) (2x)/(1+4x)
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underset(xrarroo)(1^(2)+2^(2)+3^(2)+...+x^(2))/(X^(3))
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lim(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)
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Evaluate : lim(x to oo) sqrt(x^(2)+x +1) - sqrt(x^(2)+1)
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lim(xrarrpi) (sin(pi-x))/(pi(pi-x))
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(i) lim(xrarrpi) (cos ecx-cotx)/(x) (ii) lim(xrarr0) (sinx-2sin3x+si...
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(i) lim(x to 0) (x tan 4x)/(1-cos 4x) (ii) lim(y to 0) ((x+y)sec(x...
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Lim(x to pi/2) (1+cos 2x)/(pi-2x)^(2)
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If f(x) is defined as follows: f(x)={{:(1,x,gt0),(-1,x,lt0),(0,x,=0)...
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If f(x) is defined as f(x)={{:(x,0lexlt(1)/(2)),(0,x=(1)/(2)),(1-...
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If f(x) is defined as f(x)={{:(2x+3,x,le 0),(3x+3,x,ge 0):} then...
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If f(x)=(|x|)/(x), then show that lim(xrarr0) f(x) does not exist.
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If f(x)=(|x-a|)/(x-a), then show that lim(xrarra) f(x) does not exist...
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If f(x) is defined as f(x)={{:(x,0le,xle1),(1,x,=1),(2-x,x,gt1):} ...
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If f(x)={{:(a+bx,xlt1),(4,x=1),(b-ax,xgt1):} and underset(xrarr1)f(x...
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