Calculate the following limits:(i) limx→0sin(x2)x + 1 ; (ii) limx→0√x sin(1/x)
Question
Calculate the following limits:(i) limx→0sin(x2)x + 1 ; (ii) limx→0√x sin(1/x)
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Calculate the following limits:(a) limx→0sin(2x2 + x3)x ; (b) limx→0√x(sin(1/x) − cos(1/x)).
Calculate the following limits:(i) limx→0sin(x2)x + 1
Calculate the following limits:(i) limx→0sin(x2)x ; (ii) limx→0 x2 sin(1/x).Hint) You may use the properties of trigonometric functions in the paragraph below Ex-ample 5.9
(a) limx→1x2 − 1x − 1
limx→−∞2xx2+1√=
1/3
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