Question

Shown here is the graph of a function h. Let g(x) = x + 3 2x + 2 . As x → ∞, which statement is true?

Answer 1

Given :    g(x)  =  (x + 3)/(2x + 2)

To find :  Value of g(x)   As x → ∞

Solution:

g(x)  =  (x + 3)/(2x + 2)

$\lim_{x \to \infty}$  g(x)

= $\lim_{x \to \infty}$  (x + 3)/(2x + 2)

Dividing numerator & denominator by x

= $\lim_{x \to \infty}$  (1 + 3/x)/(2 + 2/x)

$\lim_{x \to \infty}$   a/x  =  0

=  (1 + 0)/(2 + 0)

= 1/2

g(x)  = 1/2  if   x → ∞

Learn more:

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किन पूर्णांकों म और ं के लिए

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