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Evaluating Limits

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Please find the limits and justify the answer:

a) lim 2^x - x² + pi
x‾0 ‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
x^10

b) lim sin 2x
x‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾

c) lim (1 - 1/x)^x
x→∞

(^ means exponent).

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https://brainmass.com/math/real-analysis/finding-and-evaluating-limits-137248

Solution Preview

Please find the limits and justify the answer:

a) lim 2^x - x² + pi
x‾0 ‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
x^10

Solution. As
lim 2^x - x² + pi=1+pi
x‾0
and
lim x^10=0,
x‾0
we conclude that

...

Solution Summary

The solution assists with finding and evaluating limits.

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