Question 7 Evaluate the Given limit: lim(x--> 2) (3x^2 - x - 10) / (x^2 - 4)
Class XI - Limits and Derivatives Page 301
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lim(x→2) (3x² - x - 10 )/(x² - 4 )
lim(x→2) (3x²-6x+5x-10)/(x-2)(x+2)
lim(x→2) 3x(x-2)+5(x-2)/(x-2)(x+2) => (3x+5)(x-2)/(x-2)(x+2)
lim(x→2) = 3x+5/x+2
=> 3(2)+5/2+2
=>11/4
hope this will help you
lim(x→2) (3x²-6x+5x-10)/(x-2)(x+2)
lim(x→2) 3x(x-2)+5(x-2)/(x-2)(x+2) => (3x+5)(x-2)/(x-2)(x+2)
lim(x→2) = 3x+5/x+2
=> 3(2)+5/2+2
=>11/4
hope this will help you
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