# Introduction to Limits - Page 3

Questions

- #P in NN#\{0,1};#q>0#;how to solve limit?#lim_(n->oo)(qn+1)/(qn)*(qn+p+1)/(qn+p)*...*(qn+np+1)/(qn+np)#
- How do you use the Squeeze Theorem to find #limsin(1/x)# as x approaches zero?
- How do you prove the statement lim as x approaches 0 for #x^2 = 0# using the epsilon and delta definition?
- How do you use the Squeeze Theorem to find #lim (1-cos(x))/x# as x approaches zero?
- How do you use the Squeeze Theorem to find #lim tan(x)cos(sin(1/x))# as x approaches zero?
- How do you use the Squeeze Theorem to find #lim ( sin (2pi/x))# as x approaches zero?
- How do you prove the statement lim as x approaches 4 for # (x^2) = 4# using the epsilon and delta definition?
- How do you prove the statement lim as x approaches 3 for #(x^2+x-4) = 8# using the epsilon and delta definition?
- How do you prove the statement lim as x approaches 1 for #[ x + 1 ] / [ 2x + 1 ] = 2/3# using the epsilon and delta definition?
- When do we know that a limit of a given function exists?
- What is the purpose of a limit in calculus?
- How do you use the Squeeze Theorem to find #lim Sin(x)/x# as x approaches zero?
- How do you prove the statement lim as x approaches 2 for #((x^2+x-6)/(x-2))=5# using the epsilon and delta definition?
- How do you use the Squeeze Theorem to find #lim x^2 (Sin 1/x)^2 # as x approaches zero?
- What is an infinite limit?
- Find the limit lim x→0^+ (1+x^2)^1/x?
- How do you find the limits?
- What is #lim t->0^+# of #ln(1/t)#?
- NEED HELP WITH LIMITS (AP calculus) x approaching some number from the negative side and from the positive side??