2.1.63 Calculation of Limits
Condition: calculate the limits: a) \ (\ lim _ {x \ rightarrow 0} \ frac {\ sin (x+a)-\ sin (a-x)} {x} \) b) \ (\ lim _ {x \ rightarroROW \ infty} \ left (\ frac {x^{2} -6 x+5} {x^{2} -5 x+6} \ right)^{2 x+1} \), c) \ (\ lim _ {x \ rightarrow-2} \ frac {\ tanan \ pi x} {x+2} \)
Calculation of Various Limits, Using L'Hopital's Rule, Remarkable Limits, Power Series, Equivalent Values of Various Other Methods.