Sarthaks Test
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Evaluate the following limit : \(\lim\limits_{\text x \to 1}\cfrac{\text x^7-2\text x^5+1}{\text x^3-3\text x^2+2} \)

lim(x→1)(x7 - 2x5 + 1)/(x3 - 3x2 + 2)

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\(=\cfrac00\)

Method 1: factorization

Since a- b3 = (a - b)(a2 + b2 + ab) & a- b2 = (a + b)(a - b)

Method 2: By L hospital rule:

Differentiating numerator and denominator separately:

= 1

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