What is the limit as x approaches 4 of ln(x^3+36) ?

The limit as x approaches 4 of ln(x^3+36) is 2ln(10)

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limit as x approaches 4 of ln(x^3+36)

x \to 4 lim (ln (x^{3} + 36))

2 ln (10)

Decimal Notation

4.60517 \dots

Solution steps

x \to 4 lim (ln (x^{3} + 36))

Plug in the value

x = 4

= ln (4^{3} + 36)

Simplify

ln (4^{3} + 36) : 2 ln (10)

= 2 ln (10)

x \to - 5 - lim (x)

x \to 0 lim (\frac{x ln ( x )}{x})

x \to 0 lim (+ (x^{3} ln (x)))

x \to 2 lim (\frac{x - 2}{x})

x \to 4 lim (x^{2} - 5 x + 3)

What is the limit as x approaches 4 of ln(x^3+36) ?
The limit as x approaches 4 of ln(x^3+36) is 2ln(10)