limit as x approaches 0 of ((3^x-2^x))/x

Lösung

x \to 0 lim (\frac{( 3 ^{x} - 2 ^{x} )}{x})

ln (3) - ln (2)

Dezimale

0.40546 \dots

Schritte zur Lösung

x \to 0 lim (\frac{3 ^{x} - 2 ^{x}}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{3 ^{x} ln ( 3 ) - 2 ^{x} ln ( 2 )}{1})

Setze den Wert

x = 0

ein

= \frac{3 ^{0} ln ( 3 ) - 2 ^{0} ln ( 2 )}{1}

Vereinfache

\frac{3 ^{0} ln ( 3 ) - 2 ^{0} ln ( 2 )}{1} : ln (3) - ln (2)

= ln (3) - ln (2)

t an g e n t f (x) = (x^{3} - 7^{x} + 3), at x = 1

y^{^{''}} - 9 y^{^{'}} = 7 t

\int 5 cot^{5} (θ) sin^{4} (θ) d θ

\frac{\partial}{\partial x} (lo g_{10} (x + 1))

x \to 4 lim (\frac{5 x}{x - 4})