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Answer: -√2/13
Step-by-step explanation:
When we keep value of x as √2 we get 0/0 form.
To solve this we can use L hopital's rule meaning differentiate both numerator and denominator separately till the value of limit is not an indeterminant form.
= x² - 3√2x + 4 / x³ + 7x - 9√2
Numerator differentiation = 2x - 3√2
Denominator differentiation = 3x² + 7
= 2x - 3√2 / 3x² +7
Now put value of x as √2.
= 2√2 - 3√2 / 6+7
= -√2/13
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