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Find the limit if it exists?

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  • 4 weeks ago

    Yes, of course it exists.  It's just

    3*4 + 4*2 + 5 = 25.

    The only time you have to worry about using special tricks to find a limit is when a simple substitution produces a result like 0/0 or zero times infinity, stuff like that.

    For instance, the limit as x-->0 of [sin(x)/x] is 1.  There are a variety of ways of proving this, but the simplistic method of putting

    sin(0.0001)/(0.0001) in your calculator, and getting an answer of 0.9999999983 might convince you that "1" is the limiting value as x gets smaller and smaller.

  • 4 weeks ago

    since the expression remains finite at x = 2, the limit is simply 25

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