Question

If Limx->1 (x⁴-1)/(x-1)=Limx->k (x³-k³)/(x²-k²), find the value of k​

Answer 1

Answer:

k value should be 8

Step-by-step explanation:

I thought it's limix

Answer 2

Answer:

K=8/3

Step-by-step explanation:

here given lim x tends to 1 x^4-1/x-1=lim x tens to k x^3-k^3/x^2-k^2

here when substitute individual we are getting 0/0

so apply L hospital rule then on differentiating

we get

4x^3=3/2k

k=8/3