x→∞ lim (x+sinx)/x=?rt

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x→∞ lim (x+sinx)/x=?rt

x→∞ lim (x+sinx)/x=?rt
x→∞ lim (x+sinx)/x=?
rt

x→∞ lim (x+sinx)/x=?rt
x→∞ lim (x+sinx)/x
= x→∞ lim (1+sinx/x)/1
= x→∞ lim (1+sinx/x)
= (1+0)
= 1


x→∞ 则(x-1)/x≤x≤(x+1)/x
∵ x→∞ lim (x-1)/x=0
x→∞ lim (x+1)/x=0
∴ x→∞ lim (x+sinx)/x=1