Lim x 0 x2 9 3 x2 lim lim x2 x 6 d lim lim x

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Unformatted text preview: = lim x →3 x − 3 lim 3=6 b. lim x →0 x2 + 9 − 3 = x2 √ √ lim lim √ x2 − x − 6 d. lim = lim x →3 x−3 (5 + x ) e. Find lim x →0 2 − 25 x ` lim √ lim √ 2 = lim 5 lim lim 10 10 f) Find lim x→0 1 + x −1 =lim x √ √ lim √ lim √ ` √ Find the following left and right limits by sketching the function: lim x2 + x x → 0− x = -1 lim x → 0+ x2 + x x =1 Use the Limit Laws and the graphs of f and g in the figure below to evaluate the following limits, if they exist: a. lim [ f ( x) + 5 g ( x) ] = b. lim [ f ( x) ⋅ g ( x) ] lim x →−2 x →1 lim 5 lim lim 1.5 50 =undefined, limit of g(x) does not exist there. ⎛ f ( x) ⎞ c. lim ⎜ ⎟ x →2 g ( x) ⎝ ⎠ 1.5 Cannot evaluate since limit of g(x) is 0, at x=2...
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