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Evaluating limits

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Evaluate the limit. (If you need to use - or , enter -INFINITY or INFINITY.)

lim x +sin(x)/(2x+cos(x))
as x goes to 0.

  • Evaluating limits -

    I assume the limit required is:
    lim x->0 [(x +sin(x))/(2x+cos(x))]
    In any case, the first step is to substitute x=0 in the expression to get:
    Lim = [(0+0)/(2*0+1)]
    = 1
    So we're done, since the expression is defined.

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