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question mark

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

Technical GURUJI , 7 Years ago
Grade
anser 1 Answers
Aditya Gupta

Last Activity: 7 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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