Find the limit as x→ -∞ sech(x) ?

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Find the limit as x→ -∞ sech(x) ?

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Answer 1 · 2018-06-16T00:54:23

#lim_(xrarr-oo)sechx=0#

Explanation:

Use the definition of #sech(x)=1/cosh(x)# and #cosh(x)=(e^x+e^-x)/2# to get #lim_(xrarr-oo)2/(e^x+e^-x)#. Since #lim_(xrarr-oo)e^x+e^-x=+oo#, #lim_(xrarr-oo)2/(e^x+e^-x)=0#

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Find the limit as x→ -∞ sech(x) ?

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