Question

lim x_1 x⁴-1/x-1 problem of limit

Answer 1

$\lim_{x \to 1} \frac{x^4-1}{x-1}\\\implies\lim_{x \to 1}\frac{(x^2-1)(x^2+1)}{x-1}\\\implies\lim_{x \to 1}\frac{(x+1)(x-1)(x^2+1)}{x-1}\\\implies\lim_{x \to 1}(x+1)(x^2+1)\\\implies (1+1)(1^2+1)\\\implies2\times2\\\implies 4$

The answer is 4

Hope it helps :-)

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