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- 3.4 Can you show me the steps to solve the problem? Directions: Find the limit or show that it does not exist. 13) lim t ->∞ (√t + t2)/(2t - t2)evaluate limit as a approaches infinity (3a^4+4b^3+a^4b^4)/(a^4b^2+17a^2b^4)Evalute the limit of: lim x->0 (x csc 6x)/(cos 14x) The answer must be in simplified form or a fraction
- 5. Given the graph of g(x) = {√−x−2+1, x<-2 x2+2x+5, x≥-2 below, evaluate its limit as x approaches -2. a. 3 b. 1 c. the limit does not exist d. 515.2.25#11 Evaluate the limit. lim 8y^2-512/xy+8x (x,y)--->(8,-8) Find an expression that is equal to f(x,y)=8y^2−512/xy+8x, for all (x,y) in the domain of f, that will be better suited to find the limit, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.3.4 Can you show me the steps to solve the problem? Directions: Find the limit or show that it does not exist. 21) lim x ->∞ (√9x2+x) - 3x
- (a) for g(t)= t-9/square root t-3 . Make table of values with at least six appropriate inputs to evaluate the limits as t tends to 9. (b) make a conjecture about the value of lim t-9/square root t-3. t->95. Given the graph of g(x) = {√−x−2+1, x<-2 x2+2x+5, x≥-2 below, evaluate its limit as x approaches -2. a. 3 b. 1 c. the limit does not exist d. 5 6. Evaluate lim g(x) x→-3-. a. 18 b. - ∞ c.0 d. ∞ 7. Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞ b. 1 c. 0 d. -∞12-Determine the equation of any asymptote and coordinate of holes forF(x)= -12x^3 +44x^2 -32x -16 / (3x^2 +7x+2) Please note that dont use the Lim's formula
- 1) Find the indicated limit if it exists. a) limx→0 squareroot x+4-2/x b) limx→−1.5 8x3+27/2x+3Find lim x^2 − 3x + 2/x^3 − 2x^2as(a) x → 0+ (b) x → 2+ (c) x → 2− (d) x → 2 (e) What if anything can be said about the limit as x → 0?(a ) find the limit. (If an answer does not exist, enter DNE.) lim x→0 x/x2+3x (b) Find the limit. (If an answer does not exist, enter DNE.) lim x→0 [1/(5 + x)] − (1/5)/x (c) Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 2(x + Δx) − 2x/Δx (d) Consider the following function. f(x) = 6x2 − 8x Find the limit. lim Δx→0 f(x+Δx) -f(x)/Δx