Limit of intercept

Calculus Level 2

Let f ( x ) = ( x + a ) 2 x 2 f(x)=\dfrac{(x+a)^{2}}{x^{2}} and g ( a ) g(a) be the intercept of f ( x ) f(x) on the x x -axis.

Find lim ⁡ a → 0 − g ( a ) + lim ⁡ a → 0 + g ( a ) . \displaystyle \lim_{a \to 0^{-}} g(a) + \lim_{a \to 0^{+}} g(a).

0 1 Does not exist -1

Prince Loomba by Prince Loomba , 21, India

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1 solution

Prince Loomba
May 29, 2016

At x = − a , y = 0 x=-a,y=0 . Thus g(a)=-a and both limits are 0

1 Helpful 0 Interesting 0 Brilliant 1 Confused

But when a is zero f(X) is x^2/x^2, so f(X)=1, so there is no intercept

J D - 5 years ago

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Thats why I asked the limit

Prince Loomba - 5 years ago

Editted, you were right

Prince Loomba - 5 years ago

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