2.1.83 Calculation of Limits
Condition: Calculate the limits: 1) \ (\ lim _ {x \ rightarrow \ mathrm {h}}}} \ frac {\ mathrm {h}^{x} -x^{\ mathrm {h}} {(X- \ MathRm {h}) {\ gamma}} \), 2) \ (\ lim _ \ rightarrrow 0} \ frac {\ Operatorname {arccot} (\ mathRm {h} x)-\ tan (\ mathrm {h} x)} {x^}} \), 3) \ (\ lim _ \ Rightarrow \ Infty} \ frac {x^{\ mathrm {h}+\ mathrm {h}^{x}} {\ mathrm {h} x^}-\ gamma} \) where \ (\ gamma = 2; \ mathrm {h} = 26 \).
Calculation of Various Limits, Using L'Hopital's Rule, Remarkable Limits, Power Series, Equivalent Values of Various Other Methods.