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lim-x-0-e-x-e-x-x-




Question Number 57253 by Tawa1 last updated on 01/Apr/19
lim_(x→0)       ((e^x  + e^(−x) )/x)
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\:\:\:\:\frac{\mathrm{e}^{\mathrm{x}} \:+\:\mathrm{e}^{−\mathrm{x}} }{\mathrm{x}}\:\:\:\:\:\: \\ $$
Commented by mr W last updated on 01/Apr/19
=(2/0)=∞
$$=\frac{\mathrm{2}}{\mathrm{0}}=\infty \\ $$
Commented by Tawa1 last updated on 01/Apr/19
God bless you sir.
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Commented by math1967 last updated on 01/Apr/19
thank you sir mr.w   I coppy (− )insted+
$${thank}\:{you}\:{sir}\:{mr}.{w}\: \\ $$$${I}\:{coppy}\:\left(−\:\right){insted}+ \\ $$
Commented by mr W last updated on 01/Apr/19
it′s allright sir. thanks too!
$${it}'{s}\:{allright}\:{sir}.\:{thanks}\:{too}! \\ $$

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