- #1

navneet9431

Gold Member

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<Moderator's note: Moved from a technical forum and thus no template.>

$$\lim_{x\rightarrow 0} (x-tanx)/x^3$$

I solve it like this,

$$\lim_{x\rightarrow 0}1/x^2 - tanx/x^3=\lim_{x\rightarrow 0}1/x^2 - tanx/x*1/x^2$$

Now using the property $$\lim_{x\rightarrow 0}tanx/x=1$$,we have ;

$$\lim_{x\rightarrow 0}1/x^2 - 1/x^2=0$$

Is my answer correct?

$$\lim_{x\rightarrow 0} (x-tanx)/x^3$$

I solve it like this,

$$\lim_{x\rightarrow 0}1/x^2 - tanx/x^3=\lim_{x\rightarrow 0}1/x^2 - tanx/x*1/x^2$$

Now using the property $$\lim_{x\rightarrow 0}tanx/x=1$$,we have ;

$$\lim_{x\rightarrow 0}1/x^2 - 1/x^2=0$$

Is my answer correct?

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