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Popular >

f(n)=(log_{10}(n))/n

Solution

f (n) = \frac{lo g _{10} ( n )}{n}

Solution

Domain : n > 0

Range : f (x) \leq \frac{lo g _{10} ( e )}{e}

X Intercepts : (1, 0)

Asymptotes : Vertical n = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{lo g _{10} ( e )}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{lo g _{10} ( e )}{e}]

Solution steps

Domain of

\frac{lo g _{10} ( n )}{n} : n > 0

Range of

\frac{lo g _{10} ( n )}{n} : f (x) \leq \frac{lo g _{10} ( e )}{e}

Axis interception points of

\frac{lo g _{10} ( n )}{n} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{lo g _{10} ( n )}{n} :

Vertical

: n = 0,

Horizontal

: y = 0

Extreme Points of

\frac{lo g _{10} ( n )}{n} :

Maximum

(e, \frac{lo g _{10} ( e )}{e})

Popular Examples

f(x)=arccos(x)+arcsin(x)

f (x) = arccos (x) + arcsin (x)

y=2+log_{10}(2x-1)

y = 2 + lo g_{10} (2 x - 1)

f(x)=2sin(3x)+1

f (x) = 2 sin (3 x) + 1

f(x)=log_{2}(x)-1

f (x) = lo g_{2} (x) - 1

f(x)=(sec(pi/2+x))/(csc(pi-x))

f (x) = \frac{sec ( \frac{π}{2} + x )}{csc ( π - x )}

Frequently Asked Questions (FAQ)

What is the f(n)=(log_{10}(n))/n ?
The f(n)=(log_{10}(n))/n is