3. Use L'H rule to find lim (1– 2x)/=

Q: compute lim as x goes to pi/2 from the right of (x-pi/2)tan(x)

A: Given f(x)=x-π2 tanx To find limx→π2+f(x)=limx→π2+x-π2 tanx

Q: CSC X lim (secx t tans scx

A: To find the limit by using L-hospital rule L-hospital rule is  For limit(x tends to a) f(x)/g(x)…

Q: 5 tan(4x) x→0 3 sin(2x) Evaluate lim using L’Hôpital's rule.

A: The  L'Hopital's rule is: Suppose, f(x) and g(x) are two functions and their limit is given as:…

Q: Evaluate limx-->0 (sin 2x sin 9x)/(x^2) Without using L'Hospital's rule.

A: The given function is limx-->0 (sin 2x sin 9x)/(x^2)Use the expansion for sin x to simplify (sin…

Q: why is the limit as x approaches 0 equal to 1/5 in the equation: ((sinx)/(5x))

A: The given limit is,

Q: How many times must l'hôpital's rule be applied to evaluate ex - e-X – 2x lim X + 0 X- sinx

A:

Q: Use the definition of derivative to prove that In(1 + x) lim 1

A:

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: sin x (a) lim

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find lim (2+x)" * using L'Hôpital's rule. 1/x

A: Given the given expression is limx→∞2+x1x.

Q: Evaluate the limit: sin(5x) cos(6x). lim x→0

A:

Q: Find the limit of * sin(6x) limx→0 sin(2x)

A: Given problem is :

Q: Evaluate the limit sin 9x lim x →0 sin 3x

A: We can solve the problems by finding the value of the function at  the given limit.

Q: Find the limit. sin 5x lim X0 3x

A:

Q: 5. Use L'H rule to find (a). lim Inz2 (b). lim (sin x)(In x).

A:

Q: 4. Use L'Hopital's rule to evaluate lim(1 – 2 sinh(r))ach(=).

A: 4) To evaluate: limx→0(1-2sinh(x))csch(x)  which is in 1∞ form.

Q: Evaluate the limit sin 3x lim 7x

A:

Q: 9. Build a table to estimate lim sin (Hint: Use multiples of T) X-0

A: Given: To Find:   A table to estimate the value for the given function.

Q: Evaluate the limit. lim     In (Sinh x)x →0+

A: we have to evaluate the limit. lim     In (Sinh x)x →0+

Q: Find the limit. sin(4x) lim 5x

A: Solution: The objective is to find the given limit

Q: Evaluate the limit sin 8x lim I0 sin 3x

A:

Q: 1. To take the derivative of the following function. х т (1) y = m (2) y = x' log 2. To find out the…

A:

Q: Find the limit. sin(2x) lim 3x

A:

Q: Use l’Hôpital’s rule to find the limits

A: Given that: The limit is limx→0+ 3x+1x - 1sin x .

Q: State the definition of the derivative of a function f. Use the definition of the derivative to…

A:

Q: Find the limits

A: sin always lies between -1 to 1

Q: Evaluate the limit sin 3x lim 9x

A:

Q: Find limit sinax lim x→0 sinbx

A:

Q: se Ľ' Horpitals Rule to find X>0 lim e2x_I SInX

A:

Q: se L'Hopitals's rule to find lim xIn(e* – 1).

A: Given query is to find the limit of the expression.

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: TD - xs3もーな x sin"x Lim ×→の

A:

Q: Find the limit. lim sin(x8)

A: We have to find the limit.

Q: Evaluate exactly lim (1 + sinx)²cotx x→0

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Make a table of function evaluations near the limit and use this to estimate the value of the limi…

A: Given: f(x)=limx→0xsin)(x)

Q: Find lim In(sin x) cos x by using L' Hospital's rule

A: Let a limit in the form limx→af(x)g(x), where f(a)=g(a)=0, i.e. 00 form, then use L'hopital rule…

Q: 2. Use the definition = f'(x) = limw-x- S(w)-r(x). to find the derivative of w-x y = tan x.

A:

Q: Find the limit. sin(x) – 9x lim x+00 x+xe-x

A:

Q: Show that lim x sin l/x = 0.                   x→ 0

A: It is known that the absolute value of sine function is not greater than 1, then  -x≤xsin1x≤x

Q: Evaluate the limit sin 9x lim I0 sin 3x

A:

Q: Evaluate the limit sin 2x lim z+0 9x

A: Answer and explanation is given below

Q: Find the limit. lim 7 sin(x)

A:

Q: Evaluate the limit: sinh x2 – x2 lim x→0 sinhx − x

A:

Q: Compute the limit below. Justify your answer. sin(24x) lim- 39x

A:

Q: lim as x→0 of sin(x4 )/x

A:

Q: Find the limits limx→0+sin x . ln x

A: The given limit is: limx→0+sinx·lnx  Consider "h" is a too small positive real number,  Then,…

Q: Find the value of limx→0 sin(sin x)/x

A: L'Hospital Rule: According to this rule limit of the intermediate form 00  or  ∞∞ can be solved by…

Q: Apply L'Hôpital's Rule a third time. 18 18x lim lim x-0 -sin x

A: