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Find the limit, if it exists. (If an answer does not exist, enter DNE.)
Lim
x>(pi/2)+ 7e^(tan x)
 one year ago
 one year ago
Find the limit, if it exists. (If an answer does not exist, enter DNE.) Lim x>(pi/2)+ 7e^(tan x)
 one year ago
 one year ago

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JaySongChangBest ResponseYou've already chosen the best response.0
I thought it would be infinity but apparently infinity is incorrect
 one year ago

azolotorBest ResponseYou've already chosen the best response.0
\[\tan(\pi /2) = \sin(\pi /2)/\cos(\pi /2) = 1/\cos(\pi /2)\] Now you can take the left and right hand limits of this to find out if they are equal. In this case they are not so the limit does not exist.
 one year ago

JaySongChangBest ResponseYou've already chosen the best response.0
The answer does not exist is marked incorrectly for this problem.
 one year ago

JaySongChangBest ResponseYou've already chosen the best response.0
I graphed the 7e^(tan x) and it appears that as X approaches pi/2 the graph goes to infinity
 one year ago

azolotorBest ResponseYou've already chosen the best response.0
Only from the right. From the left it approaches 7
 one year ago

JaySongChangBest ResponseYou've already chosen the best response.0
I think the question is only asking for the right hand limit
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
from right its 0, from left its infinity.
 one year ago

JaySongChangBest ResponseYou've already chosen the best response.0
since there is a small + sign the left of the Pi/2
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
see, from right means x > pi/2 x is in 2nd quadrant where tan x is negative. also, tan pi/2 = infinity so, e^{infinity} will tend to 0
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
from left means x< pi/2 x is in 1st quadrant where tan x is positive. also, tan pi/2 = infinity so, e^{infinity} will tend to infinity
 one year ago
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