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lim x+sinx = x-sinx x-> infinity Please give the a answer.

lim x+sinx =
       x-sinx
x-> 
infinity
 
Please give the a answer.
 
 
 

Grade:

1 Answers

Aditya Gupta
2081 Points
4 years ago
we know that lim sinx/x as x tends to infinity is zero (by sandwich theorem)
now, let f(x)=sinx/x
so, the above lim can be rewritten as lim (1+f(x))/(1 – f(x)) as x tends to infinity
which becomes (1 – 0)/(1+0)
so, the value of the limit is 1.

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