Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form.
ModifyingBelow lim With x right arrow 0StartFraction e Superscript x Baseline minus 1 Over 4 x squared plus 9 x EndFractionequalsModifyingBelow lim With x right arrow 0left parenthesis nothing right parenthesis
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Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 14 In x - 14 lim X - e Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form lim 14 Inx-14 X-e = lim ( Evaluate the limit 14 Inx-14 lim =(Type an exact answer.)
Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 2x4 + 5x + 4x +7 lim X + 1 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 2x + 5x +4% +7 lim lim X + 1 Evaluate the limit. lim 2x + 5x + 4x + 7 X+ 1 -(Type an exact answer.)
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 7in x-7 lim X-e = lim Xe Xe Evaluate the limit. 7In x-7 7 = (Type an integer or a fraction.) lim X-e X-e n. Find the solution of the following initial value problem. p' (t) = 65 e -; (O) = 280 The solution of the initial value problem is p(t)...
Find all complex zeros of the given polynomial function, and write the polynomial in completely factored form. f left parenthesis x right parenthesis equals negative 5 x Superscript 5 Baseline plus 19 x Superscript 4 Baseline plus 9 x cubed minus 69 x squared minus 64 x minus 10f(x)=−5x5+19x4+9x3−69x2−64x−10 Find the complex zeros of f. Repeat any zeros if their multiplicity is greater than 1. xequals=nothing (Simplify your answer. Use a comma to separate answers as needed. Express complex numbers...
Evaluate the following limit. Use I'Hôpital's Rule when it is convenient and applicable. x2 + 4x + 3 lim- ---3- 18 - 3x + x2 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. x2 + 4x + 3 lim 5 = lima x--3 -18-3x + x? *-+-3 Enter your answer in the answer box and then click Check Answer. part remaining Clear All
Determine ModifyingBelow lim With x right arrow c Superscript plusf(x), ModifyingBelow lim With x right arrow c Superscript minusf(x), and ModifyingBelow lim With x right arrow cf(x), if it exists. cequals3, f(x)equals left brace Start 2 By 2 Matrix 1st Row 1st Column 4 minus x 2nd Column x less than 3 2nd Row 1st Column StartFraction x Over 3 EndFraction plus 1 2nd Column x greater than 3 EndMatrix ModifyingBelow lim With x right arrow c Superscript plusf(x)equals nothing...
Use l'Hôpital's rule to find the limit. Use - oo or oo when appropriate. 3x2 + 9 * 5x + 4 lim Select the correct choice below and, if necessary, fill in the answer box to complete yo 3x² + 9 lim O A. x-> 00 5x + 4 (Type an exact answer in simplified form.) OB. The limit does not exist.
1 *+-2* (*+2 Vx+5 - 00 (Type an exact answer.) Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x+-2 x+2 Vx+2 What is the most efficient way for this limit to be evaluated? Select the correct choice below and, if necessary O A. Manipulate the given expression algebraically to rewrite the limit aslim x -2 O B. Take the natural logarithm of the expression and then l'Hôpital's Rule to rewrite the limit as X-2 O...
#2 1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3 lim 2+3 22 – 5x + 6 Note that 3 is a zero of the denominator polynomial, so you need to use the technique of Example 4.2.5(d) p. 113. 2. (8 points) In the previous problem, can L'Hôpital's Rule be applied? If so, evaluate the limit using L'Hôpital's Rule; if not, indicate how the limit expression does not satisfy the conditions required for L'Hôpital's...
Use l'Hôpital's rule to find the limit. Use - or when appropriate. In (3 + 2x) lim X-1 X + 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X-1 In (3 + 2x) lim O A. x + 1 (Type an exact answer in simplified form.) OB. The limit does not exist. Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 159 +54x;...