Question

2 upon 2 + 3 upon 2 -5 upon ​

Answer 1

Answer:

Lim x -----> 64=(x^1/6-2)/(x^1/3-4)

Lim x------> 64=(x^1/6-64^1/6)/(x^1/3-64^1/3)

Divide both nr and dr by (x-64)

Lim x-----> 64=[(x^1/6-64^1/6)/x-64]/[(x^1/3-64^1/3)/(x-64)]

Lim x-----> 64=[1/6*64^1/6-1]/[1/3*64^1/3-1]

Lim x-----> 64=[(1/6)/(1/3)]*[64^(1/6-1)/(1/3-1)]

Lim x-----> 64=(1/2)*[64^(1/6-1-1/3+1)

Lim x-----> 64=(1/2)*[64^(1/6-1/3)]

Lim x-----> 64=(1/2)*64^(-1/6)

Lim x-----> 64=(1/2*1/2)

Lim x-----> 64=1/4