Question: Use the trigonometric limits ModifyingBelow lim With x right arrow 0 limx 0 StartFraction sine x Over x EndFractionsinxxequals = 1 and / or ModifyingBelow

Use the trigonometric limits
ModifyingBelow lim With x right arrow 0limx0StartFraction sine x Over x EndFractionsinxxequals=1
and/or
ModifyingBelow lim With x right arrow 0limx0StartFraction cosine x minus 1 Over x EndFractioncosx1xequals=0
to evaluate the following limit.
ModifyingBelow lim With x right arrow 0limx0StartFraction sine ax Over sine bx EndFractionsinaxsinbx,
where a and b are constants with
bnot equals0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

In terms of limits, what does it mean for f to grow faster than g as xright arrowinfinity? Question content area bottom Part 1 Choose the correct answer below. A. ModifyingBelow lim With x right...

Q:

Analyze the following limits and find the vertical asymptotes off(x)equals=StartFraction x minus 18 Over x squared minus 324 EndFractionx18x2324.a. ModifyingBelow lim With x right arrow 18 f left...

Q:

Question content area top Part 1 Use L ' H pital ' s rule to find the limit . Note that in this problem, neither algebraic simplification nor the theorem for limits of rational functions at infinity...

Q:

Based on a study of population projections for 2 0 0 0 to 2 0 5 0 , the projected population of a group of people ( in millions ) can be modeled by the following exponential function, where tequals =...

Q:

Let f left parenthesis x right parenthesis equals StartFraction x minus 3 Over x squared minus 3 x EndFractionf ( x ) = x 3 x 2 3 x . Find the indicated quantities, if they exist. ( A )...

Q:

To be answered: ( answer it all I need complete solutions I will rate helpful) EVALUATING LIMITS OF EXPONENTIAL FUNCTIONS , First, we consider the natural exponential function f(r) = et, where e is...

Q:

Lesson: Limits of functions Direction: Pick-up lines regarding limit of function At this point, make an output by making a DIY bookmark with pick-up lines/puns regarding the limit of a function. You...

Q:

I Questions for Further Exploration 1. Use a graphing utility to estimate Limit 1 in part (c) cosine functions are each other's derivatives? If not, above graphically and numerically. which is the...

Q:

Let f ( x ) equals = left brace Start 2 By 2 Matrix 1 st Row 1 st Column 1 6 minus x squared, 2 nd Column for x less than or equals 0 2 nd Row 1 st Column 1 6 plus x squared, 2 nd Column for x...

Q:

Use the graph o f the function f shown t o estimate the indicated l i m i t s and the function value. Complete parts ( A ) through ( D ) . - 2 2 4 - 2 2 4 x f ( x ) A coordinate system has a...

Q:

Imagine you are creating an organism that you are going to use to study the effects of living around undersea hot water vents on metabolism. The organism will inhabit an ecosystem where the average...

Q:

Adams College has a self-insured employee health care plan. Each employee pays a monthly premium of $100. Adams pays the rest of the health care costs. The number of covered employees is 1,000 this...

Q:

Ceteris paribus , if two firms have the same total expected cash flows over the next five years , the firm whose future expected cash flows _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ would be expected to...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...