Test:21 QNo:3

lim-x→0 x^x=

4 Answers

please someone tell the solution.

yes the answer is one. but please send the solution.

Let A = lim_xâ†’0 x ^x
Taking log both sides, we get

log A = lim _xâ†’0 x log x

log A =lim _xâ†’0 log x1/x
=lim _xâ†’0 1 / x- 1 / x² [Using L'H rule]

= 0
So A= 1 or lim_xâ†’0 x ^x = 1

mmm we need to prove the continuity of the function at x=0,

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