What is the limit as t approaches 1 of (ln(t))/(t-1) ?

The limit as t approaches 1 of (ln(t))/(t-1) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as t approaches 1 of (ln(t))/(t-1)

t \to 1 lim (\frac{ln ( t )}{t - 1})

1

Solution steps

t \to 1 lim (\frac{ln ( t )}{t - 1})

Apply L'Hopital's Rule

: t \to 1 lim (\frac{\frac{1}{t}}{1})

= t \to 1 lim (\frac{\frac{1}{t}}{1})

Plug in the value

t = 1

= \frac{\frac{1}{1}}{1}

Simplify

= 1

y^{^{'}} + x y = 4 x y^{\frac{7}{2}}

\int_{0}^{\frac{π}{2}} 4 cos^{2} (x) d x

\frac{d}{d x} ((- 9 x^{2} + 25)^{2})

\int \frac{1}{x ( ln ( x ) ) ^{7}} d x

\frac{d}{d x} (- \frac{6 x}{( x ^{2} + 9 ) ^{2}})

What is the limit as t approaches 1 of (ln(t))/(t-1) ?
The limit as t approaches 1 of (ln(t))/(t-1) is 1