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, the formula of the limx→0 (ex-1)/x is given by 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 … 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 as x approaches 0 is equal to 1. In this post, we will learn how to find the limit of $\frac{x}{\sin x}$ when x tends to 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
The quotient rule of limit says that the limit of the quotient of two functions is the same as the quotient of the limit of the individual functions. In this post, we will prove the quotient law of limit by the epsilon-delta method. Question: What is an epsilon-delta proof of the division rule of limit? Here, … Read more
The product rule of limits says that the limit of the product of two functions is the same as the product of the limits of the individual functions. In this post, we will prove the product law of limits by the epsilon-delta method. Question: What is an epsilon-delta proof of the product law of limits? … Read more