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Find each limit (a) by investigating values of the function near the point where the limit is taken and (b) by using a graphing calculator to view the function near the point.
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Chapter 3 Solutions
Calculus For The Life Sciences
- (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)/Δxarrow_forwardA function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity.For example, the function f(x)=(−3(x+2))/(x^2+4x+4) has a vertical asymptote at x=−2 Find each of the following limits. limx→−2−(−3(x+2))/(x^2+4x+4)= limx→−2+(−3(x+2))/(x^2+4x+4)= limx→−2(−3(x+2))/(x^2+4x+4)=arrow_forwardFind the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−6 6 − |x| 6 + xarrow_forward
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