The limit of (cosx-1)/x as x approaches 0 is equal to 0. Here, we will learn to find the limit of (cos(x)-1)/x when x→0. The limit formula of (cosx-1)/x as x tends to 0 is given by limx→0 $\dfrac{\cos x -1}{x}$ = 0. Proof of Limit of (cosx-1)/x as x approaches 0 Prove that limx→0 … Read more
The limit of sin2x/sin3x when x approaches 0 is equal to 2/3, that is, limx→0 sin2x/sin3x = 2/3. The limit of sin3x/sin2x when x approaches 0 is equal to 3/2, that is, limx→0 sin3x/sin2x = 3/2. The following formula will be useful to compute the above limits: limx→0 sinx/x = 1 …(∗) Limit of sin2x/sin3x … Read more
The limit of sin2x/x when x→0 is equal to 2 and the limit of sin2x/x when x→∞ is equal to 0. Here we find the limits of sin2x/x when x tends to 0 or ∞. The formulas of the limits of sin2x/x when x→0 or x→∞ is given below: Find limx→0 sin2x/x Answer: The function … Read more
The limit of sin(1/x) as x approaches 0 does not exist, that is, limx→0 sin(1/x) is undefined. The limit formula of sin(1/x) when x→0 is given below: limx→0 sin(1/x) = undefined. Let us learn how to find the limit of sin(1/x) when x approaches 0. Find the Limit of sin(1/x) when x→0 Answer: The function sin(1/x) has no … Read more
The limit of tanx/x as x approaches infinity does not exist, that is, limx→∞ tanx/x is undefined. Here we learn to find the limit of tanx/x when x tends to infinity. The formula of the limit of tanx/x when x approaches ∞ is given by limx→∞ tanx/x = undefined. Below theorem will be useful to prove this … Read more
The limit of tanx/x as x approaches 0 is equal to 1, that is, limx→0 tanx/x = 1. Here we learn to find the limit of x/tanx when x tends 0. The formula of the limit of tanx/x when x→0 is given by limx→0 tanx/x = 1. Proof of limit tanx/x = 1 when x→0 First, we prove … Read more
The value of the limit of x/cosx is equal to 0 when x approaches to 0. Here we will learn how to find the limit of x/cosx when x tends 0. The formula of x/cosx limit as x goes to 0 is given below: limx→0 $\dfrac{x}{\cos x}$ = 0. Proof of limit x/cosx is 0 when … Read more
The limit of (ex-1)/x, when x tends to zero, is equal to 1. That is, we have limx→0 (ex-1)/x = 1. In this post, we will learn to find the limit of the function (ex-1)/x when x approaches to zero. Limit of (e^x-1)/x as x→0 Prove that limx→0 $\dfrac{e^x-1}{x}$ = 1. Proof: Note that when … Read more
The limit of sinx/x as x approaches infinity is equal to zero. That is, limx→∞ sinx/x = 0. This can be proved using the Squeeze Theorem of limits which will be done here. Limit of sinx/x as x goes to infinity Question: What is the limit of sinx/x when x→∞. Answer: The limit of sinx/x … Read more
The value of the limit of x/sinx is equal to 1 when x tends to 0. In this post, we will learn how to find the limit of $\frac{x}{\sin x}$ when x approaches 0. lim x/sinx when x approaches 0 Formula The formula of the limit of x/sinx when x tends to zero is given … Read more