The value of lim y- ysin 1 y - 1 y - is

The correct option is D 1 The value of lim _ y→∞ #160;[ ysin( 1 y #160;) #160; 1 y #160;] #160; is =lim _ y→∞ #160;[ sin( ...

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Substitution Method to Remove Indeterminate Form

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The value of $lim y \to \infty [y sin (\frac{1}{y}) - \frac{1}{y}]$ is

1

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\infty

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- 1

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0

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- \infty

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\frac{{(\frac{1}{x} + y)}^{(a + b)} {(\frac{1}{y} - x)}^{- (p + q)}}{{(\frac{1}{x} - y)}^{- (p + q)} {(x + \frac{1}{y})}^{(a + b)}}

\frac{{(x + \frac{1}{y})}^{a} {(x - \frac{1}{y})}^{b}}{{(y + \frac{1}{x})}^{a} {(y - \frac{1}{x})}^{b}}

(\frac{1}{x} - \frac{1}{{(x - y)}^{2}}) d x + (\frac{1}{{(x - y)}^{2}} - \frac{1}{y}) d y = 0

\frac{{(x + \frac{1}{y})}^{a} {(x - \frac{1}{y})}^{b}}{{(y + \frac{1}{x})}^{a} {(y - \frac{1}{x})}^{b}}

x, y, z

(x + y) (y + z) (z + x) (\frac{1}{x} + \frac{1}{y}) (\frac{1}{y} + \frac{1}{z}) (\frac{1}{z} + \frac{1}{x})

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