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Popular >

f(n)=(log_{10}(n))/(n^2)

Solution

f (n) = \frac{lo g _{10} ( n )}{n ^{2}}

Solution

Domain : n > 0

Range : f (x) \leq \frac{lo g _{10} ( e )}{2 e}

X Intercepts : (1, 0)

Asymptotes : Vertical n = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{lo g _{10} ( e )}{2 e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{lo g _{10} ( e )}{2 e}]

Solution steps

Domain of

\frac{lo g _{10} ( n )}{n ^{2}} : n > 0

Range of

\frac{lo g _{10} ( n )}{n ^{2}} : f (x) \leq \frac{lo g _{10} ( e )}{2 e}

Axis interception points of

\frac{lo g _{10} ( n )}{n ^{2}} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{lo g _{10} ( n )}{n ^{2}} :

Vertical

: n = 0,

Horizontal

: y = 0

Extreme Points of

\frac{lo g _{10} ( n )}{n ^{2}} :

Maximum

(e, \frac{lo g _{10} ( e )}{2 e})

Popular Examples

f (x) = x^{3} + 7 x - 6

y = \frac{1}{2 x ^{2} - 5}

f(x)=x^3-5x^2-8x+12

f (x) = x^{3} - 5 x^{2} - 8 x + 12

f(x)=x(3x+6)-3(x^2+x)

f (x) = x (3 x + 6) - 3 (x^{2} + x)

f (n) = 2 n + 3 2^{n}

Frequently Asked Questions (FAQ)

What is the f(n)=(log_{10}(n))/(n^2) ?
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