Asked by Joshua
I need step-by-step help for solving the lim x -> 0 for the function sin(x)/(x + tan(x))
I can do simpler ones, but this one throws me off.
Thanks.
I can do simpler ones, but this one throws me off.
Thanks.
Answers
Answered by
Reiny
use L'Hopital's rule
lim sinx/(x + tanx) , as x---0
= lim cosx/( 1 + sec^2 x) as x --->0
= 1/(1+1)
= 1/2
test with your calculator:
enter .0000001 and store in memory of calculator
Make sure calculator is set to RAdians
evaluate:
RCL M
sin
=
รท
(RCL M
+
TAN
RCL M
)
=
you should get .5 or very close to .5
I use such a method for any limit question, to either check my answer or get a prediction of my answer
lim sinx/(x + tanx) , as x---0
= lim cosx/( 1 + sec^2 x) as x --->0
= 1/(1+1)
= 1/2
test with your calculator:
enter .0000001 and store in memory of calculator
Make sure calculator is set to RAdians
evaluate:
RCL M
sin
=
รท
(RCL M
+
TAN
RCL M
)
=
you should get .5 or very close to .5
I use such a method for any limit question, to either check my answer or get a prediction of my answer
Answered by
Joshua
Perfect, thanks.
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