Can You Solve This Limit?

本站添加: 2026-05-22

[00:00:01]Can you solve this limit as X approaches one of four X cubed plus X minus seven divided by two minus X squared?

[00:00:16]First, check whether the denominator is zero when X equal to one.

[00:00:28]Substitute one for X.

[00:00:32]Two minus one squared equal to one.

[00:00:39]Since the denominator is not zero, the function is continuous at X equal to one, so we can evaluate the limit by direct substitution.

[00:00:56]Again, we will substitute one for X.

[00:01:03]Four times one cubed plus one minus seven divided by two minus one squared.

[00:01:16]Simplify, we have negative two over one equal to negative two.

[00:01:28]The limit is negative two.

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