Question

please give answer with steps. ​

Answer 1

Answer:

$2 {a}^{5}$

Step-by-step explanation:

$\lim \: \frac{ {x}^{102} - {a}^{102} }{ {x}^{51} - {a}^{50} } \\ \lim \: \frac{102 {x}^{101} }{51 {x}^{50} } \\ \lim \: 2 {x}^{51} \\ 2 {a}^{51}$

l' hospital rule ha been used

in this we differentiate the function till we get afunction in which we can apply limits

I have done the same process

since a was a constant

therefore it got removed upon differentiating

at last limits were applied

(limit has got latex problem please consider it as same as given in the question)