Home
Class 11
MATHS
Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(...

Evaluate: `lim_(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to a} \frac{(x + 2)^{5/3} - (a + 2)^{5/3}}{x - a}, \] we can apply L'Hôpital's Rule, which is useful when we encounter an indeterminate form like \( \frac{0}{0} \). ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate lim_(xtoa) ((x+2)^(5//3)-(a+2)^(5//3))/(x-a).

Evaluate the following limits: lim_(xrarra){((x+2)^(5//3)-(a+2)^(5//3))/(x-a)}

2.Evaluate lim_(x->a)(x^(7)-a^(7))/(x^(5)-a^(5))

lim_(x rarr2)((x^(5)-32)/(x^(3)-8))

5.Evaluate lim_(x->2)(x^(5)-2^(5))/(x-2)

Evaluate: lim_(xrarr2) (x^(3)-2x^(2))/(x^(2)-5x+6)

Evaluate lim_(x to a) ((x + 3)^(7//5) - (a + 3)^(7//5))/(x - a)

Evaluate: lim_(xtoa)(x^(3//5)-a^(3//5))/(x^(1//3)-a^(1//3))

Evaluate: lim_(x rarr 3)(x^(5)-243)/(x-3) .

Evaluate lim_(xto-3) (x^(3)+27)/(x^(5)+243)