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padilas [110]
3 years ago
7

Can't quite figure out the limit problem ​

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Use the squeeze theorem; if

1 - <em>x</em> ²/4 ≤ <em>u(x)</em> ≤ 1 + <em>x</em> ²/2,

then taking the limit on each part as <em>x</em> approaches 0 gives

1 ≤ lim [<em>x</em> → 0] <em>u(x)</em> ≤ 1

and so the limit of <em>u(x)</em> as <em>x</em> → 0 is simply 1.

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