Question

solve
$lim \frac{x7 - a7}{x - a} \\ x- a$

Answer 1

heya..!!!


we know that:-


if
$lim \: \: \: \: \: \: \frac{ {x}^{n} - {a}^{n} }{ x - a} = n {a}^{n - 1} \\ x -> a \\ \\ where \: \: a \: > 0$

now,

here ,

n = 7

according to Formula

$lim \frac{x7 - a7}{x - a} = 7 {a}^{(7 - 1)} \\ x- a \\ \\ = > 7 {a}^{6}$


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