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The function is $\"r=\\frac{2x}{\\sqrt{625-x^2}}\"$ feet/sec.

(a)

Find rate $\"r\"$ when $\"x\"$ is $\"7\"$ feet .

$\"\\\\\\lim_{x\\rightarrow$

$\"\\lim_{x\\rightarrow$ ft/sec.

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(b)

Find rate $\"r\"$ when $\"x\"$ is $\"15\"$ feet .

$\"\\\\\\lim_{x\\rightarrow$

$\"\\lim_{x\\rightarrow$ ft/sec.

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(c)

Find limit as $\"x\\rightarrow$ .

$\"\\lim_{x\\rightarrow$ .

As $\"x\"$ tends to $\"25\"$ from the left hand side, the limit approaches to $\"\\infty\"$ .

$\"\\lim_{x\\rightarrow$ .

Verify the limit by the below table .

$\"x\"$	$\"24.5\"$	$\"24.9\"$	$\"24.99\"$	$\"24.999\"$	$\"24.9999\"$
$\"f(x)\"$	$\"9.84\"$	$\"22.29\"$	$\"70.689\"$	$\"223.60\"$	$\"707.104\"$

A limit in which $\"f(x)\"$ increases without bound as $\"x\"$ approaches $\"25\"$ from the left is called an infinite limit.

$\"\\lim_{x\\rightarrow$ .

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(a) $\"\\lim_{x\\rightarrow$ ft/sec.

(b) $\"\\lim_{x\\rightarrow$ ft/sec.