Question 8 Evaluate the Given limit: lim(x--> 3) (x^4 - 81) / (2x^2 - 5x -3)
Class XI - Limits and Derivatives Page 301
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lim(x→ 3) (x^4 - 81) / (2x^2 - 5x -3)
at x = 3 it takes 0/0 form
so
lim(x→ 3) (x^4 - 81) / (2x^2 - 5x -3) = (x-3)(x+3)(x²+9)/(x-3)(2x+1)
=>lim(x→ 3) = (x+3)(x²+9)/(2x+1)
= 108/7
i hope it will help you .
at x = 3 it takes 0/0 form
so
lim(x→ 3) (x^4 - 81) / (2x^2 - 5x -3) = (x-3)(x+3)(x²+9)/(x-3)(2x+1)
=>lim(x→ 3) = (x+3)(x²+9)/(2x+1)
= 108/7
i hope it will help you .
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