Wednesday, 15 June 2016

calculus - Compute limlimitsxto2fracsin(x+2)|4x2| without L'Hopital's rule


Compute, without L'Hopital's rule, the limit lim





Since x\to -2^- , the denominator can be rewritten as -4+x^2, but there isn't much more I've been able to do (I tried using \sin(x+2)=\sin x\cos2+\sin2\cos x without getting much out of it). Thanks for your answers.

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real analysis - How to find lim_{hrightarrow 0}frac{sin(ha)}{h}

How to find \lim_{h\rightarrow 0}\frac{\sin(ha)}{h} without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...