The limit of cos(1/x) as x approaches 0 does not exist. In this post, we will learn how to find the limit of cos(1/x). limx→0 cos(1/x) Does Not Exist. Limit of cos(1/x) when x→0 Question: What is the limit cos(1/x) when x tend to 0? Answer: The limit of cos(1/x) does not exist when x tends … Read more
The limit of sinx/x as x approaches 0, is equal to 1. That is, the limit formula of sinx/x when x→0 is given as follows: limx→0 sinx/x = 1. In this post, we will learn how to find the limit of sinx/x when x approaches 0. Limit of sinx/x as x→0 by l’Hopital’s Rule Question: … Read more
The limit of cos(1/x) as x approaches infinity is equal to 1. The limx→∞ cos(1/x) formula is given as follows: $\lim\limits_{x \to \infty} \cos \big(\dfrac{1}{x} \big)=1$. In this post, we will learn how to prove the limit of cos(1/x) when x tends to ∞. Limx→∞ cos(1/x) Question: What is the limit of cos(1/x) when x … Read more
The limit of (1+1/n)^n as n approaches infinity is equal to e. The limn→∞ (1+1/n)n formula is given by $\lim\limits_{n \to \infty} \big(1+\dfrac{1}{n} \big)^n=e$. That is, the limit of (1+1/x)x when x→∞ is equal to e. In this post, we will learn to prove the limit of log(1+x)/x when x tends to zero. Limn→∞ (1 … Read more
The limit of sin(√x)/x as x approaches 0 DOES NOT exist, that is, the limx→0 sin(\sqrt{x})/x formula is given by $\lim\limits_{x \to 0} \dfrac{\sin \sqrt{x}}{x}=$ not exist. Let us learn how to find the limit of sin root x divided by x when x tends to 0. Find Limit of sin(√x)/x when x→0 We have … Read more
The limit of sin(x^2)/x as x approaches 0 is equal to 0. The limx -> 0 sin(x2)/x formula is given by $\lim\limits_{x \to 0} \dfrac{\sin x^2}{x}=0$. Let us learn how to find the limit of sin x square divided by x when x tends to 0. Limx → 0 sin(x2)/x We have $\lim\limits_{x \to 0} … Read more
The limit of (a^x-1)/x as x approaches 0 is equal to 1. The limx -> 0 (ax-1)/x formula is given by $\lim\limits_{x \to 0} \dfrac{a^x-1}{x}=\ln a$ where ln a = logea. In this post, we will learn to prove the limit of (ax-1)/x when x tends to zero. Limx → 0 (ax -1)/x Prove that … Read more
The limit of log(1+x)/x as x approaches 0 is equal to 1. The limx -> 0 (log(1 + x))/x formula is given by $\lim\limits_{x \to 0} \dfrac{\log(1+x)}{x}=1$. In this post, we will learn to prove the limit of log(1+x)/x when x tends to zero. Limx → 0 log(1 + x)/x Prove that limx → 0 … Read more
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